Summer Problem Solving Marathon Solution #25

The base of triangle AEF is AE, which is 3/4 the length of AB. Since F is the midpoint of BC, the height of triangle AEF is 1/2 the height of triangle ABC. So the area of AEF is (3/4)(1/2) = 3/8 the area of triangle ABC. Thus the area of AEF is (3/8)96 = 36.