5.
that is square-kite
square=AC^2=(AE+EC)^2=(9+15)^2=24^2=576
kite=1/2 times diagonals=1/2 times AC times BD=1/2 times 24 times (BE+ED)=12 times (7+7)=12 times 14=168
so the shaded area=576-168=408 square inches
6.
trapezoid=(base1+base2) times 1/2 times height
big one is base1=14, base2=25
height =10+12=22
area=(1/2)(14+24)(22)=(11)(38)=418
small one is base1=8
base2=25
height is 10
area=(1/2)(25+10)(10)=(5)(35)=175
so shaded area is 418-175=243 square cm
