Answer:
Area of the pentagon = 130.5 square inches
Explanation:
The area of any regular figure is always defined as :

Therefore for this pentagon, we have that its perimeter is 8.7 inches times 5 (due to its 5 equal sides) = 43.5 inches
And then the Area would be:
43.5 inches * 6 inches / 2 = 130.5 square inches