The area of a trapezoid is given by the formula A =1/2 (b 1 + b 2)h, where base b 1 is parallel to base b 2 and h is the height. Solve the formula for b 2. Show your work.

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asked Aug 9, 2017 149k views

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Andreas Klinger · Answer 1 · 2017-08-14T06:09:09+0000

The answer is b2 = 2A/h - b1

A = 1/2(b1 + b2)h

Multiply both sides by 2:
2 * A = 2 * 1/2(b1 + b2)h
2A = (b1 + b2)h

Divide both sides by h:
2A/h = (b1 + b2)h/h
2A/h = b1 + b2

Subtract b1 from both sides:
2A/h - b1 = b1 + b2 - b1
2A/h - b1 = b2

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The area of a trapezoid is given by the formula A =1/2 (b 1 + b 2)h, where base b 1 is parallel to base b 2 and h is the height. Solve the formula for b 2. Show your work.

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