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12 November, 18:01

The area of a trapezoid is 69.6 in2 and its altitude is 8.7 in. Find the perimeter of the trapezoid if the sum of its legs is equal to the sum of its bases.

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  1. 12 November, 18:43
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    To answer this, you will find the sum of the bases by using the area of a trapezoid formula:

    A = 1/2 x h x (b1 + b2) - You will represent the area of the 2 bases as x, because it says the sum of the bases so this can be

    written as 1 term, x

    69.6 = 1/2 x 8.7 x (x); solve for x

    69.6 = 4.35x; divide both sides by 4.35

    x = 16 in.

    If 16 inches is the sum of the 2 bases and the sum of the legs, than you will double this answer to find the perimeter.

    16 in x 2 = 32 inches

    The perimeter is 32 inches.
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