Question

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

(1 point)
Responses

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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h=2Ab1+b2h is equal to the fraction with numerator 2 cap A and denominator b sub 1 plus b sub 2


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Answer 1

To rearrange the area formula for 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 both sides by \( (b_1 + b_2) \) to isolate \( h \):
\[
h = \frac{2A}{b_1 + b_2}
\]

So the correct rearranged formula to solve for \( h \) is:
\[
h = \frac{2A}{b_1 + b_2}
\]

Based on the options you provided, the one that matches this solution is:

**h = 2A / (b1+b2)** (this is the correct rearranged formula for h).