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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 pentagon, we first need to find the area of the triangle and then add it to the area of the rectangle.
Area of the triangle:
1/2 * base * height
1/2 * 10 * 5 = 25
Area of the rectangle:
base * height
10 * 3 = 30
Total area = 25 + 30 = 55
Therefore, the area of the pentagon is 55 square units.