1. To solve this problem, you must apply the formula for calculate the area of the trapezoid, which is:
A=(B+b)h/2
A is the area of the trapezoid (A=69.6 in²).
(B+b) is the sum of the bases of the trapezoid.
h is the height of the trapezoid (h=8.7 in).
2. When you clear the sum of the bases (B+b), you have:
A=(B+b)h/2
2A=(B+b)h
(B+b)=2A/h
(B+b)=2(69.6 in²)/(8.7 in)
(B+b)=16 in
3. The problem says that the sum of its legs is equal to the sum of its bases, therefore, the perimeter is:
Sum of the legs=Sum of the bases (B+b)=16 in
Perimeter=16 in+16 in
Perimeter=32 in