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Question 13

Here is the area formula for a trapezoid: A=1/2h(b1+b2)
Rearrange the formula to solve for h.

(1 point)
Responses

h=2Ab1+b2
h is equal to the fraction with numerator 2 cap A and denominator b sub 1 plus b sub 2

h=12A(b1+b2)
h is equal to 1 half cap A open paren b sub 1 plus b sub 2 close paren
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1 answer

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

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

  2. Divide by \( (b_1 + b_2) \) to isolate \( h \):
    \( h = \frac{2A}{b_1 + b_2} \)

Thus, the rearranged formula for \( h \) is:

\[ h = \frac{2A}{b_1 + b_2} \]

So, the correct response is:
h is equal to the fraction with numerator 2A and denominator b1 + b2.