Answer:
238.95 in²
Step-by-step explanation:
The area is that of 5 triangles of the given dimensions. Each triangle has an area of ...
A = 1/2bh = 1/2(11.8 in)(8.1 in) = 47.79 in²
Then the area of the pentagon is ...
pentagon area = 5 × 47.79 in² = 238.95 in²
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The formula is often written as ...
A = 1/2Pa
where P is the perimeter (5 times the side length) and "a" is the apothem, the distance from the center to the middle of one side. This gives you the same result.
