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Which correctly shows the area formula for a trapezoid, A=1/2h(b1+b2) , rearranged for the quantity of interest h?(1 point) Responses

A. h = 2A/b1+b2
B. h = 1/2A(b1+b2)
C. h = b1+b2/2A
D. b1 = 2A/h - b2

1 answer

To rearrange the area formula of a trapezoid, \( A = \frac{1}{2}h(b_1 + b_2) \), for the height \( h \), follow these steps:

  1. Multiply both sides by 2 to eliminate the fraction: \[ 2A = h(b_1 + b_2) \]

  2. Divide both sides by \( (b_1 + b_2) \) to solve for \( h \): \[ h = \frac{2A}{b_1 + b_2} \]

Thus, the correct answer is:

A. \( h = \frac{2A}{b_1 + b_2} \).