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.
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.