图复制不上
设FG和AB交于O
∵S△ADE=S△DGC
S△AFO=S△BGO
∴S长方形EFGD
=S△ADE+S△AFO+S四边形AOGD
=S△DGC+S△BGOO+S四边形AOGD
=S正方形ABCD
=4×4
=16平方厘米