Question

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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)
square units
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of the polygon, we first need to find the area of the rectangle and the area of the trapezoid, and then add them together.

Area of the rectangle = length x width
Area of the rectangle = 7.2 x 6
Area of the rectangle = 43.2 square units

Area of the trapezoid = (1/2) x (sum of the lengths of the parallel sides) x height
Area of the trapezoid = (1/2) x (6 + 1) x 3
Area of the trapezoid = (1/2) x 7 x 3
Area of the trapezoid = 10.5 square units

Adding the areas of the rectangle and trapezoid together:
Total area = 43.2 + 10.5
Total area = 53.7 square units

Therefore, the area of the polygon is 53.7 square units.