A swing set is going to be placed over a region of mulch that is shaped like a trapezoid. The bases of the trapezoid have a length of 12 and 15 feet, and the perpendicular distance between the bases is 8.5 feet. What is the area of the region under the swing set? If necessary, round your answer to the nearest tenth.

Question

Jenny Roberson

Mathematics

3 January, 18:43

A swing set is going to be placed over a region of mulch that is shaped like a trapezoid. The bases of the trapezoid have a length of 12 and 15 feet, and the perpendicular distance between the bases is 8.5 feet. What is the area of the region under the swing set? If necessary, round your answer to the nearest tenth.

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Answers (1)

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Sanchez · Answer 1

The area under the swing set is 114.75 square feet.

The area formula for a trapezoid is: A = 0.5h (the sum of the bases).

All we need to do is input the values and evaluate.

A = 0.5 (8.5) (12 + 15)

A = 0.5 (8.5) (27)

A = 114.75