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A polygon is shaped like a trapezoid attached to the top of a vertical rectangle. The length of the rectangle is 7.2 and the width is 6. The perpendicular height of the trapezoid is 3, marked with a dashed vertical line forming an extension of the rectangle to the top left vertex of the trapezoid. The part of trapezoid that extends outward and perpendicular to both sides of the rectangle measures 1.

Find the area of the polygon.

(1 point)

1 answer

The area of the rectangle is length times width, so 7.2 x 6 = 43.2. The area of the trapezoid is 0.5 x (base1 + base2) x height, so 0.5 x (6 + 1) x 3 = 9.

Therefore, the total area of the polygon is 43.2 + 9 = 52.2 square units.