Use the image to answer the question.

A pentagon is formed of two perpendicular lines on a base, which converge to form a triangular end. The pentagon points downward and has a total height of 8. The base measures 10 and the perpendicular side measures 5.

Find the area of the polygon in square units.

1 answer

To find the area of the polygon, we need to divide it into smaller shapes and add up their areas.

First, we can divide it into a rectangle and a triangle. The rectangle has a height of 5 (the same as the perpendicular side) and a base of 10, so its area is:

5 x 10 = 50

The triangle is half of a rectangle, so its area is:

(1/2) x 5 x 8 = 20

Adding these two areas together, we get:

50 + 20 = 70

Therefore, the area of the polygon is 70 square units.
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