The formula for the area of a trapezoid is A = 1 2 h (b 1 + b 2), A = 2 1 h (b 1 + b 2 ), where h h is the height and b 1 b 1 and b 2 b 2 are the two bases. Rewrite the formula to solve for h h in terms of A, A, b 1 b 1 and b 2. b 2 .

Question

Mathematics

Brooklynn Shaw

4 November, 02:48

The formula for the area of a trapezoid is A = 1 2 h (b 1 + b 2), A = 2 1 h (b 1 + b 2 ), where h h is the height and b 1 b 1 and b 2 b 2 are the two bases. Rewrite the formula to solve for h h in terms of A, A, b 1 b 1 and b 2. b 2 .

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Answers (2)

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Darien Cox · Answer 1

h = 2A / (b1 + b2)

Step-by-step explanation:

A = 1/2h (b1 + b2)

Divide both sides by 1/2 (b1 + b2)

h = A / 1/2 (b1 + b2)

h = 2A / (b1 + b2)

Darien Mays · Answer 2

2A / (b1+b2) = h

Step-by-step explanation:

The formula for the area of a trapezoid is

A = 1/2 (b1+b2) * h

We want to solve for h

Multiply each side by 2

2A = 2*1/2 (b1+b2) * h

2A = (b1+b2) * h

Divide each side by (b1+b2)

2A / (b1+b2) = (b1+b2) / (b1+b2) * h

2A / (b1+b2) = h