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05.02)A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?

05.02)A doghouse is to be built in the shape of a right trapezoid, as shown below-example-1

1 Answer

4 votes

Answer:

66.5 square feet

Explanation:

See the given diagram attached with this question.

The right trapezoid consists of two parts, one square area having side length 7 ft and a right triangle having base 5 ft and altitude 7 ft.

Therefore, the area of the doghouse which is in shape of the given right trapezoid will be = area of the square + area of the triangle

= ( 7 × 7) + ( 0.5 × base × altitude )

= ( 7 × 7) + ( 0.5 × 5 × 7 )

= 49 + 17.5

= 66.5 square feet. (Answer)

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