In trapezoid abcd with legs ab and cd , diagonals bd ∩ ac =m so that bm: md=1: 4. find aamd, acmd, and aacd if the area of aabm=8 in2.

If BM : MD = 1 : 4, then Triangles AMD and CMB are similar, then

Let then

Given Note that

1. Consider triangle CMD. The area of this triangle is

2. Consider triangle AMD. The area of this triangle is

3. Consider triangle ACD. The area of this triangle is