Question

在长方形ABCD中,AE=BF=3cm;ED=6cm;GFD=16平方厘米;GEC=20平方厘米；求长方形面积.

Answer 1

GFD = ABCD - AGD - GBF - CDF = 9 AB - 9/2 AG - 3/2 GB - 3AB = 6AB - 9/2 AG - 3/2(AB - AG) = 16

GEC = ABCD - AGE - CDE - BCG = 9AB - 3/2 AG - 9/2AB - 9/2 (AB - AG) = 20

AB = 6

ABCD = 9*6 = 54