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16\\,\\text{cm}^2",[572,1113,1115,1133,1197,1224,1251],{"className":1114,"ariaHidden":626},[625],[572,1116,1118,1121,1124,1127,1130],{"className":1117},[630],[572,1119],{"className":1120,"style":635},[634],[572,1122,593],{"className":1123},[639,640],[572,1125],{"className":1126,"style":645},[644],[572,1128,597],{"className":1129},[649],[572,1131],{"className":1132,"style":645},[644],[572,1134,1136,1140,1144,1147,1150,1156,1188,1191,1194],{"className":1135},[630],[572,1137],{"className":1138,"style":1139},[634],"height:1.1141em;vertical-align:-0.25em;",[572,1141,1066],{"className":1142},[1143],"mopen",[572,1145,1006],{"className":1146},[639],[572,1148],{"className":1149,"style":1033},[644],[572,1151,1153],{"className":1152},[639,1037],[572,1154,1013],{"className":1155},[639],[572,1157,1160,1163],{"className":1158},[1159],"mclose",[572,1161,1077],{"className":1162},[1159],[572,1164,1166],{"className":1165},[709],[572,1167,1169],{"className":1168},[713],[572,1170,1172],{"className":1171},[717],[572,1173,1176],{"className":1174,"style":1175},[721],"height:0.8641em;",[572,1177,1179,1182],{"style":1178},"top:-3.113em;margin-right:0.05em;",[572,1180],{"className":1181,"style":729},[728],[572,1183,1185],{"className":1184},[733,734,735,736],[572,1186,616],{"className":1187},[639,736],[572,1189],{"className":1190,"style":645},[644],[572,1192,597],{"className":1193},[649],[572,1195],{"className":1196,"style":645},[644],[572,1198,1200,1203,1206,1209,1215,1218,1221],{"className":1199},[630],[572,1201],{"className":1202,"style":1026},[634],[572,1204,1006],{"className":1205},[639],[572,1207],{"className":1208,"style":1033},[644],[572,1210,1212],{"className":1211},[639,1037],[572,1213,1013],{"className":1214},[639],[572,1216],{"className":1217,"style":666},[644],[572,1219,603],{"className":1220},[670],[572,1222],{"className":1223,"style":666},[644],[572,1225,1227,1230,1233,1236,1242,1245,1248],{"className":1226},[630],[572,1228],{"className":1229,"style":1026},[634],[572,1231,1006],{"className":1232},[639],[572,1234],{"className":1235,"style":1033},[644],[572,1237,1239],{"className":1238},[639,1037],[572,1240,1013],{"className":1241},[639],[572,1243],{"className":1244,"style":645},[644],[572,1246,597],{"className":1247},[649],[572,1249],{"className":1250,"style":645},[644],[572,1252,1254,1257,1260,1263],{"className":1253},[630],[572,1255],{"className":1256,"style":1175},[634],[572,1258,1100],{"className":1259},[639],[572,1261],{"className":1262,"style":1033},[644],[572,1264,1266,1272],{"className":1265},[639],[572,1267,1269],{"className":1268},[639,1037],[572,1270,1013],{"className":1271},[639],[572,1273,1275],{"className":1274},[709],[572,1276,1278],{"className":1277},[713],[572,1279,1281],{"className":1280},[717],[572,1282,1284],{"className":1283,"style":1175},[721],[572,1285,1286,1289],{"style":1178},[572,1287],{"className":1288,"style":729},[728],[572,1290,1292],{"className":1291},[733,734,735,736],[572,1293,616],{"className":1294},[639,736],[563,1296,1297,1298,1041],{},"Eine quadratische Terrasse hat die Seitenlänge ",[572,1299,1301,1321],{"className":1300},[575],[572,1302,1304],{"className":1303},[579],[581,1305,1306],{"xmlns":583},[585,1307,1308,1318],{},[588,1309,1310,1313,1315],{},[614,1311,1312],{},"2,5",[1008,1314,1010],{},[1008,1316,1317],{},"m",[618,1319,1320],{"encoding":620},"2{,}5\\,\\text{m}",[572,1322,1324],{"className":1323,"ariaHidden":626},[625],[572,1325,1327,1331,1334,1342,1346,1349],{"className":1326},[630],[572,1328],{"className":1329,"style":1330},[634],"height:0.8389em;vertical-align:-0.1944em;",[572,1332,616],{"className":1333},[639],[572,1335,1337],{"className":1336},[639],[572,1338,1341],{"className":1339},[1340],"mpunct",",",[572,1343,1345],{"className":1344},[639],"5",[572,1347],{"className":1348,"style":1033},[644],[572,1350,1352],{"className":1351},[639,1037],[572,1353,1317],{"className":1354},[639],[572,1356,1358],{"className":1357},[1045],[572,1359,1361,1404],{"className":1360},[575],[572,1362,1364],{"className":1363},[579],[581,1365,1366],{"xmlns":583,"display":1054},[585,1367,1368,1401],{},[588,1369,1370,1372,1374,1376,1378,1380,1382,1388,1390,1393,1395],{},[591,1371,593],{},[595,1373,597],{},[595,1375,1066],{"stretchy":1065},[614,1377,1312],{},[1008,1379,1010],{},[1008,1381,1317],{},[609,1383,1384,1386],{},[595,1385,1077],{"stretchy":1065},[614,1387,616],{},[595,1389,597],{},[614,1391,1392],{},"6,25",[1008,1394,1010],{},[609,1396,1397,1399],{},[1008,1398,1317],{},[614,1400,616],{},[618,1402,1403],{"encoding":620},"A = (2{,}5\\,\\text{m})^2 = 6{,}25\\,\\text{m}^2",[572,1405,1407,1425,1493],{"className":1406,"ariaHidden":626},[625],[572,1408,1410,1413,1416,1419,1422],{"className":1409},[630],[572,1411],{"className":1412,"style":635},[634],[572,1414,593],{"className":1415},[639,640],[572,1417],{"className":1418,"style":645},[644],[572,1420,597],{"className":1421},[649],[572,1423],{"className":1424,"style":645},[644],[572,1426,1428,1431,1434,1437,1443,1446,1449,1455,1484,1487,1490],{"className":1427},[630],[572,1429],{"className":1430,"style":1139},[634],[572,1432,1066],{"className":1433},[1143],[572,1435,616],{"className":1436},[639],[572,1438,1440],{"className":1439},[639],[572,1441,1341],{"className":1442},[1340],[572,1444,1345],{"className":1445},[639],[572,1447],{"className":1448,"style":1033},[644],[572,1450,1452],{"className":1451},[639,1037],[572,1453,1317],{"className":1454},[639],[572,1456,1458,1461],{"className":1457},[1159],[572,1459,1077],{"className":1460},[1159],[572,1462,1464],{"className":1463},[709],[572,1465,1467],{"className":1466},[713],[572,1468,1470],{"className":1469},[717],[572,1471,1473],{"className":1472,"style":1175},[721],[572,1474,1475,1478],{"style":1178},[572,1476],{"className":1477,"style":729},[728],[572,1479,1481],{"className":1480},[733,734,735,736],[572,1482,616],{"className":1483},[639,736],[572,1485],{"className":1486,"style":645},[644],[572,1488,597],{"className":1489},[649],[572,1491],{"className":1492,"style":645},[644],[572,1494,1496,1500,1504,1510,1514,1517],{"className":1495},[630],[572,1497],{"className":1498,"style":1499},[634],"height:1.0585em;vertical-align:-0.1944em;",[572,1501,1503],{"className":1502},[639],"6",[572,1505,1507],{"className":1506},[639],[572,1508,1341],{"className":1509},[1340],[572,1511,1513],{"className":1512},[639],"25",[572,1515],{"className":1516,"style":1033},[644],[572,1518,1520,1526],{"className":1519},[639],[572,1521,1523],{"className":1522},[639,1037],[572,1524,1317],{"className":1525},[639],[572,1527,1529],{"className":1528},[709],[572,1530,1532],{"className":1531},[713],[572,1533,1535],{"className":1534},[717],[572,1536,1538],{"className":1537,"style":1175},[721],[572,1539,1540,1543],{"style":1178},[572,1541],{"className":1542,"style":729},[728],[572,1544,1546],{"className":1545},[733,734,735,736],[572,1547,616],{"className":1548},[639,736],[563,1550,1551,1552,1625],{},"Ein Quadrat hat den Flächeninhalt ",[572,1553,1555,1578],{"className":1554},[575],[572,1556,1558],{"className":1557},[579],[581,1559,1560],{"xmlns":583},[585,1561,1562,1575],{},[588,1563,1564,1567,1569],{},[614,1565,1566],{},"49",[1008,1568,1010],{},[609,1570,1571,1573],{},[1008,1572,1013],{},[614,1574,616],{},[618,1576,1577],{"encoding":620},"49\\,\\text{cm}^2",[572,1579,1581],{"className":1580,"ariaHidden":626},[625],[572,1582,1584,1587,1590,1593],{"className":1583},[630],[572,1585],{"className":1586,"style":699},[634],[572,1588,1566],{"className":1589},[639],[572,1591],{"className":1592,"style":1033},[644],[572,1594,1596,1602],{"className":1595},[639],[572,1597,1599],{"className":1598},[639,1037],[572,1600,1013],{"className":1601},[639],[572,1603,1605],{"className":1604},[709],[572,1606,1608],{"className":1607},[713],[572,1609,1611],{"className":1610},[717],[572,1612,1614],{"className":1613,"style":699},[721],[572,1615,1616,1619],{"style":724},[572,1617],{"className":1618,"style":729},[728],[572,1620,1622],{"className":1621},[733,734,735,736],[572,1623,616],{"className":1624},[639,736],". Gesucht ist die Seitenlänge:",[572,1627,1629],{"className":1628},[1045],[572,1630,1632,1671],{"className":1631},[575],[572,1633,1635],{"className":1634},[579],[581,1636,1637],{"xmlns":583,"display":1054},[585,1638,1639,1668],{},[588,1640,1641,1643,1645,1659,1661,1664,1666],{},[591,1642,600],{},[595,1644,597],{},[882,1646,1647],{},[588,1648,1649,1651,1653],{},[614,1650,1566],{},[1008,1652,1010],{},[609,1654,1655,1657],{},[1008,1656,1013],{},[614,1658,616],{},[595,1660,597],{},[614,1662,1663],{},"7",[1008,1665,1010],{},[1008,1667,1013],{},[618,1669,1670],{"encoding":620},"a = \\sqrt{49\\,\\text{cm}^2} = 7\\,\\text{cm}",[572,1672,1674,1692,1795],{"className":1673,"ariaHidden":626},[625],[572,1675,1677,1680,1683,1686,1689],{"className":1676},[630],[572,1678],{"className":1679,"style":680},[634],[572,1681,600],{"className":1682},[639,640],[572,1684],{"className":1685,"style":645},[644],[572,1687,597],{"className":1688},[649],[572,1690],{"className":1691,"style":645},[644],[572,1693,1695,1699,1786,1789,1792],{"className":1694},[630],[572,1696],{"className":1697,"style":1698},[634],"height:1.04em;vertical-align:-0.0361em;",[572,1700,1702],{"className":1701},[639,920],[572,1703,1705,1777],{"className":1704},[713,924],[572,1706,1708,1774],{"className":1707},[717],[572,1709,1712,1761],{"className":1710,"style":1711},[721],"height:1.0039em;",[572,1713,1715,1718],{"className":1714,"style":936},[935],[572,1716],{"className":1717,"style":940},[728],[572,1719,1721,1724,1727],{"className":1720,"style":944},[639],[572,1722,1566],{"className":1723},[639],[572,1725],{"className":1726,"style":1033},[644],[572,1728,1730,1736],{"className":1729},[639],[572,1731,1733],{"className":1732},[639,1037],[572,1734,1013],{"className":1735},[639],[572,1737,1739],{"className":1738},[709],[572,1740,1742],{"className":1741},[713],[572,1743,1745],{"className":1744},[717],[572,1746,1749],{"className":1747,"style":1748},[721],"height:0.7401em;",[572,1750,1752,1755],{"style":1751},"top:-2.989em;margin-right:0.05em;",[572,1753],{"className":1754,"style":729},[728],[572,1756,1758],{"className":1757},[733,734,735,736],[572,1759,616],{"className":1760},[639,736],[572,1762,1764,1767],{"style":1763},"top:-2.9639em;",[572,1765],{"className":1766,"style":940},[728],[572,1768,1770],{"className":1769,"style":958},[957],[960,1771,1772],{"xmlns":962,"width":963,"height":964,"viewBox":965,"preserveAspectRatio":966},[968,1773],{"d":970},[572,1775,975],{"className":1776},[974],[572,1778,1780],{"className":1779},[717],[572,1781,1784],{"className":1782,"style":1783},[721],"height:0.0361em;",[572,1785],{},[572,1787],{"className":1788,"style":645},[644],[572,1790,597],{"className":1791},[649],[572,1793],{"className":1794,"style":645},[644],[572,1796,1798,1801,1804,1807],{"className":1797},[630],[572,1799],{"className":1800,"style":1026},[634],[572,1802,1663],{"className":1803},[639],[572,1805],{"className":1806,"style":1033},[644],[572,1808,1810],{"className":1809},[639,1037],[572,1811,1013],{"className":1812},[639],[558,1814,1816],{"id":1815},"typische-fehler","Typische Fehler",[1818,1819,1820,2197,2390],"ul",{},[1821,1822,1823,1881,1882,1933,1934,1998,1999,2123,2124,740],"li",{},[572,1824,1826,1843],{"className":1825},[575],[572,1827,1829],{"className":1828},[579],[581,1830,1831],{"xmlns":583},[585,1832,1833,1841],{},[588,1834,1835],{},[609,1836,1837,1839],{},[591,1838,600],{},[614,1840,616],{},[618,1842,764],{"encoding":620},[572,1844,1846],{"className":1845,"ariaHidden":626},[625],[572,1847,1849,1852],{"className":1848},[630],[572,1850],{"className":1851,"style":699},[634],[572,1853,1855,1858],{"className":1854},[639],[572,1856,600],{"className":1857},[639,640],[572,1859,1861],{"className":1860},[709],[572,1862,1864],{"className":1863},[713],[572,1865,1867],{"className":1866},[717],[572,1868,1870],{"className":1869,"style":699},[721],[572,1871,1872,1875],{"style":724},[572,1873],{"className":1874,"style":729},[728],[572,1876,1878],{"className":1877},[733,734,735,736],[572,1879,616],{"className":1880},[639,736]," mit ",[572,1883,1885,1903],{"className":1884},[575],[572,1886,1888],{"className":1887},[579],[581,1889,1890],{"xmlns":583},[585,1891,1892,1900],{},[588,1893,1894,1896,1898],{},[614,1895,616],{},[595,1897,603],{},[591,1899,600],{},[618,1901,1902],{"encoding":620},"2 \\cdot a",[572,1904,1906,1924],{"className":1905,"ariaHidden":626},[625],[572,1907,1909,1912,1915,1918,1921],{"className":1908},[630],[572,1910],{"className":1911,"style":1026},[634],[572,1913,616],{"className":1914},[639],[572,1916],{"className":1917,"style":666},[644],[572,1919,603],{"className":1920},[670],[572,1922],{"className":1923,"style":666},[644],[572,1925,1927,1930],{"className":1926},[630],[572,1928],{"className":1929,"style":680},[634],[572,1931,600],{"className":1932},[639,640]," verwechseln: Bei ",[572,1935,1937,1959],{"className":1936},[575],[572,1938,1940],{"className":1939},[579],[581,1941,1942],{"xmlns":583},[585,1943,1944,1956],{},[588,1945,1946,1948,1950,1952,1954],{},[591,1947,600],{},[595,1949,597],{},[614,1951,1006],{},[1008,1953,1010],{},[1008,1955,1013],{},[618,1957,1958],{"encoding":620},"a = 4\\,\\text{cm}",[572,1960,1962,1980],{"className":1961,"ariaHidden":626},[625],[572,1963,1965,1968,1971,1974,1977],{"className":1964},[630],[572,1966],{"className":1967,"style":680},[634],[572,1969,600],{"className":1970},[639,640],[572,1972],{"className":1973,"style":645},[644],[572,1975,597],{"className":1976},[649],[572,1978],{"className":1979,"style":645},[644],[572,1981,1983,1986,1989,1992],{"className":1982},[630],[572,1984],{"className":1985,"style":1026},[634],[572,1987,1006],{"className":1988},[639],[572,1990],{"className":1991,"style":1033},[644],[572,1993,1995],{"className":1994},[639,1037],[572,1996,1013],{"className":1997},[639]," ist ",[572,2000,2002,2032],{"className":2001},[575],[572,2003,2005],{"className":2004},[579],[581,2006,2007],{"xmlns":583},[585,2008,2009,2029],{},[588,2010,2011,2017,2019,2021,2023],{},[609,2012,2013,2015],{},[591,2014,600],{},[614,2016,616],{},[595,2018,597],{},[614,2020,1100],{},[1008,2022,1010],{},[609,2024,2025,2027],{},[1008,2026,1013],{},[614,2028,616],{},[618,2030,2031],{"encoding":620},"a^2 = 16\\,\\text{cm}^2",[572,2033,2035,2079],{"className":2034,"ariaHidden":626},[625],[572,2036,2038,2041,2070,2073,2076],{"className":2037},[630],[572,2039],{"className":2040,"style":699},[634],[572,2042,2044,2047],{"className":2043},[639],[572,2045,600],{"className":2046},[639,640],[572,2048,2050],{"className":2049},[709],[572,2051,2053],{"className":2052},[713],[572,2054,2056],{"className":2055},[717],[572,2057,2059],{"className":2058,"style":699},[721],[572,2060,2061,2064],{"style":724},[572,2062],{"className":2063,"style":729},[728],[572,2065,2067],{"className":2066},[733,734,735,736],[572,2068,616],{"className":2069},[639,736],[572,2071],{"className":2072,"style":645},[644],[572,2074,597],{"className":2075},[649],[572,2077],{"className":2078,"style":645},[644],[572,2080,2082,2085,2088,2091],{"className":2081},[630],[572,2083],{"className":2084,"style":699},[634],[572,2086,1100],{"className":2087},[639],[572,2089],{"className":2090,"style":1033},[644],[572,2092,2094,2100],{"className":2093},[639],[572,2095,2097],{"className":2096},[639,1037],[572,2098,1013],{"className":2099},[639],[572,2101,2103],{"className":2102},[709],[572,2104,2106],{"className":2105},[713],[572,2107,2109],{"className":2108},[717],[572,2110,2112],{"className":2111,"style":699},[721],[572,2113,2114,2117],{"style":724},[572,2115],{"className":2116,"style":729},[728],[572,2118,2120],{"className":2119},[733,734,735,736],[572,2121,616],{"className":2122},[639,736],", nicht ",[572,2125,2127,2150],{"className":2126},[575],[572,2128,2130],{"className":2129},[579],[581,2131,2132],{"xmlns":583},[585,2133,2134,2147],{},[588,2135,2136,2139,2141],{},[614,2137,2138],{},"8",[1008,2140,1010],{},[609,2142,2143,2145],{},[1008,2144,1013],{},[614,2146,616],{},[618,2148,2149],{"encoding":620},"8\\,\\text{cm}^2",[572,2151,2153],{"className":2152,"ariaHidden":626},[625],[572,2154,2156,2159,2162,2165],{"className":2155},[630],[572,2157],{"className":2158,"style":699},[634],[572,2160,2138],{"className":2161},[639],[572,2163],{"className":2164,"style":1033},[644],[572,2166,2168,2174],{"className":2167},[639],[572,2169,2171],{"className":2170},[639,1037],[572,2172,1013],{"className":2173},[639],[572,2175,2177],{"className":2176},[709],[572,2178,2180],{"className":2179},[713],[572,2181,2183],{"className":2182},[717],[572,2184,2186],{"className":2185,"style":699},[721],[572,2187,2188,2191],{"style":724},[572,2189],{"className":2190,"style":729},[728],[572,2192,2194],{"className":2193},[733,734,735,736],[572,2195,616],{"className":2196},[639,736],[1821,2198,2199,2200,2123,2348,740],{},"Die Einheit nicht mitquadrieren: ",[572,2201,2203,2241],{"className":2202},[575],[572,2204,2206],{"className":2205},[579],[581,2207,2208],{"xmlns":583},[585,2209,2210,2238],{},[588,2211,2212,2214,2216,2218,2220,2226,2228,2230,2232],{},[595,2213,1066],{"stretchy":1065},[614,2215,1006],{},[1008,2217,1010],{},[1008,2219,1013],{},[609,2221,2222,2224],{},[595,2223,1077],{"stretchy":1065},[614,2225,616],{},[595,2227,597],{},[614,2229,1100],{},[1008,2231,1010],{},[609,2233,2234,2236],{},[1008,2235,1013],{},[614,2237,616],{},[618,2239,2240],{"encoding":620},"(4\\,\\text{cm})^2 = 16\\,\\text{cm}^2",[572,2242,2244,2304],{"className":2243,"ariaHidden":626},[625],[572,2245,2247,2251,2254,2257,2260,2266,2295,2298,2301],{"className":2246},[630],[572,2248],{"className":2249,"style":2250},[634],"height:1.0641em;vertical-align:-0.25em;",[572,2252,1066],{"className":2253},[1143],[572,2255,1006],{"className":2256},[639],[572,2258],{"className":2259,"style":1033},[644],[572,2261,2263],{"className":2262},[639,1037],[572,2264,1013],{"className":2265},[639],[572,2267,2269,2272],{"className":2268},[1159],[572,2270,1077],{"className":2271},[1159],[572,2273,2275],{"className":2274},[709],[572,2276,2278],{"className":2277},[713],[572,2279,2281],{"className":2280},[717],[572,2282,2284],{"className":2283,"style":699},[721],[572,2285,2286,2289],{"style":724},[572,2287],{"className":2288,"style":729},[728],[572,2290,2292],{"className":2291},[733,734,735,736],[572,2293,616],{"className":2294},[639,736],[572,2296],{"className":2297,"style":645},[644],[572,2299,597],{"className":2300},[649],[572,2302],{"className":2303,"style":645},[644],[572,2305,2307,2310,2313,2316],{"className":2306},[630],[572,2308],{"className":2309,"style":699},[634],[572,2311,1100],{"className":2312},[639],[572,2314],{"className":2315,"style":1033},[644],[572,2317,2319,2325],{"className":2318},[639],[572,2320,2322],{"className":2321},[639,1037],[572,2323,1013],{"className":2324},[639],[572,2326,2328],{"className":2327},[709],[572,2329,2331],{"className":2330},[713],[572,2332,2334],{"className":2333},[717],[572,2335,2337],{"className":2336,"style":699},[721],[572,2338,2339,2342],{"style":724},[572,2340],{"className":2341,"style":729},[728],[572,2343,2345],{"className":2344},[733,734,735,736],[572,2346,616],{"className":2347},[639,736],[572,2349,2351,2369],{"className":2350},[575],[572,2352,2354],{"className":2353},[579],[581,2355,2356],{"xmlns":583},[585,2357,2358,2366],{},[588,2359,2360,2362,2364],{},[614,2361,1100],{},[1008,2363,1010],{},[1008,2365,1013],{},[618,2367,2368],{"encoding":620},"16\\,\\text{cm}",[572,2370,2372],{"className":2371,"ariaHidden":626},[625],[572,2373,2375,2378,2381,2384],{"className":2374},[630],[572,2376],{"className":2377,"style":1026},[634],[572,2379,1100],{"className":2380},[639],[572,2382],{"className":2383,"style":1033},[644],[572,2385,2387],{"className":2386},[639,1037],[572,2388,1013],{"className":2389},[639],[1821,2391,2392,2393,740],{},"Flächeninhalt und Umfang verwechseln. Der Umfang ist ",[572,2394,2396,2417],{"className":2395},[575],[572,2397,2399],{"className":2398},[579],[581,2400,2401],{"xmlns":583},[585,2402,2403,2414],{},[588,2404,2405,2408,2410,2412],{},[591,2406,2407],{},"U",[595,2409,597],{},[614,2411,1006],{},[591,2413,600],{},[618,2415,2416],{"encoding":620},"U = 4a",[572,2418,2420,2439],{"className":2419,"ariaHidden":626},[625],[572,2421,2423,2426,2430,2433,2436],{"className":2422},[630],[572,2424],{"className":2425,"style":635},[634],[572,2427,2407],{"className":2428,"style":2429},[639,640],"margin-right:0.109em;",[572,2431],{"className":2432,"style":645},[644],[572,2434,597],{"className":2435},[649],[572,2437],{"className":2438,"style":645},[644],[572,2440,2442,2445,2448],{"className":2441},[630],[572,2443],{"className":2444,"style":1026},[634],[572,2446,1006],{"className":2447},[639],[572,2449,600],{"className":2450},[639,640],{"title":2452,"searchDepth":2453,"depth":2453,"links":2454},"",2,[2455,2456,2457],{"id":560,"depth":2453,"text":561},{"id":987,"depth":2453,"text":988},{"id":1815,"depth":2453,"text":1816},[2459,2461,2463,2466],{"lhs":2460,"rhs":764},"a * a",{"lhs":2462,"rhs":1100},"4^2",{"lhs":2464,"rhs":2465},"2.5^2","6.25",{"lhs":2467,"rhs":1663},"sqrt(49)",null,"md",{"caption":2471,"x":2472,"y":2475,"items":2476},"Quadrat mit der Seitenlänge a und dem Flächeninhalt A",[2473,2474],-0.7,3.5,[2473,2474],[2477,2487,2492,2497,2499],{"type":2478,"points":2479,"fill":2486},"polygon",[2480,2482,2484,2485],[2481,2481],0,[2483,2481],3,[2483,2483],[2481,2483],true,{"type":2488,"at":2489,"from":2490,"to":2491},"rightAngle",[2481,2481],[2483,2481],[2481,2483],{"type":2493,"at":2494,"text":600},"label",[2495,2496],1.5,-0.35,{"type":2493,"at":2498,"text":600},[2496,2495],{"type":2493,"at":2500,"text":593},[2495,2495],"\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" viewBox=\"0 0 201.6 201.6\" width=\"201.6\" height=\"201.6\" role=\"img\" aria-label=\"Quadrat mit der Seitenlänge a und dem Flächeninhalt A\" class=\"formula-figure-svg\">\u003Cdefs>\u003Cmarker id=\"fig-square-area-arrow\" viewBox=\"0 0 10 10\" refX=\"9\" refY=\"5\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\u003Cpath d=\"M 0 0 L 10 5 L 0 10 z\" class=\"fig-arrowhead\"\u002F>\u003C\u002Fmarker>\u003CclipPath id=\"fig-square-area-clip\">\u003Crect x=\"0\" y=\"0\" width=\"201.6\" height=\"201.6\"\u002F>\u003C\u002FclipPath>\u003C\u002Fdefs>\u003Cpolygon points=\"33.6,168 177.6,168 177.6,24 33.6,24\" class=\"fig-main fig-fill\"\u002F>\u003Cpath d=\"M 45.6 168 L 45.6 156 L 33.6 156\" class=\"fig-mark\"\u002F>\u003Ccircle cx=\"39.6\" cy=\"162\" r=\"1.5\" class=\"fig-dot\"\u002F>\u003Ctext x=\"105.6\" y=\"184.8\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">a\u003C\u002Ftext>\u003Ctext x=\"16.8\" y=\"96\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">a\u003C\u002Ftext>\u003Ctext x=\"105.6\" y=\"96\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">A\u003C\u002Ftext>\u003C\u002Fsvg>","square-area","A = a^2","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A = a^2\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8641em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","lower",{},"\u002Fde\u002Fformulas\u002Fmath\u002Fgeometry\u002Fflaecheninhalt-quadrat",[],[2510,2511,2512],"rectangle-area","square-perimeter","cube-surface",{"title":548,"description":2452},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fflaecheninhalt-quadrat","Der Flächeninhalt eines Quadrats ist die Seitenlänge mal sich selbst.",[2517,2518,2519],"fläche","quadrat","flächeninhalt",[2521,2524],{"symbol":593,"meaning":2522,"symbolHtml":2523},"Flächeninhalt","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":600,"meaning":2525,"symbolHtml":2526},"Seitenlänge des Quadrats","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","PQEc4TgaPW3a0VS35Ywl-LF0TQuEdVH_jqSr9ikSD9o",[2529,2532,2535],{"stem":2530,"title":2531,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fflaecheninhalt-rechteck","Flächeninhalt eines Rechtecks",{"stem":2533,"title":2534,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Foberflaeche-wuerfel","Oberfläche eines Würfels",{"stem":2536,"title":2537,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fumfang-quadrat","Umfang eines Quadrats",1793824268725]