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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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Aug 9, 2017
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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.
Mathematics
high-school
Kemesha
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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
Andreas Klinger
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Aug 14, 2017
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Andreas Klinger
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