设正方形边长=a,依题意有S 梯形BCDE-S △ABE=15;
S 梯形BCDE-S △ABE=S △BCD+S △BDE-S △ABE=(1/2)[a²+3√2a/2-a(a-3√2/2﹚]=3√2a/2=15;
故a=5√2;
ABCD的面积=a²=50(平方厘米)
设正方形边长=a,依题意有S 梯形BCDE-S △ABE=15;
S 梯形BCDE-S △ABE=S △BCD+S △BDE-S △ABE=(1/2)[a²+3√2a/2-a(a-3√2/2﹚]=3√2a/2=15;
故a=5√2;
ABCD的面积=a²=50(平方厘米)