Question

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.

The area is
square feet.

Answers

  1. Answer:
    114.8 ft²
    Step-by-step explanation:
    Understanding the given values :
    • bases (a and b) = 12 feet and 15 feet
    • perpendicular distance (height, h) = 8.5 feet
    Inputting into the formula for the area of a trapezoid :
    • A = 1/2 x (a + b) x h
    • A = 1/2 x (12 + 15) x 8.5
    • A = 4.25 x 27
    • A = 114.8 ft² (nearest tenth)

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