To answer this, you will find the sum of the bases by using the area of a trapezoid formula:
A = 1/2 x h x (b1 + b2) - You will represent the area of the 2 bases as x, because it says the sum of the bases so this can be
written as 1 term, x
69.6 = 1/2 x 8.7 x (x); solve for x
69.6 = 4.35x; divide both sides by 4.35
x = 16 in.
If 16 inches is the sum of the 2 bases and the sum of the legs, than you will double this answer to find the perimeter.
16 in x 2 = 32 inches
The perimeter is 32 inches.
The reference angle is
pi/3.
At 180 it would be 9pi/3 so going past that is 10pi/3.
Answer: The answer is the 4th option
Step-by-step explanation: Hope this helps!