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#39333

algebra

equations

medium

45 sec

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The formula for the area $A$ of a trapezoid is $A = \frac{1}{2} h (b_{1} + b_{2})$ , where $h$ is the height and $b_{1}$ and $b_{2}$ are the lengths of the bases. Which equation correctly gives $h$ in terms of $A$ , $b_{1}$ , and $b_{2}$ ?

A.

$h = \frac{2 A}{b _{1} + b _{2}}$

B.

$h = 2 A - b_{1} - b_{2}$

C.

$h = \frac{A}{2 ( b _{1} + b _{2} )}$

D.

$h = \frac{A ( b _{1} + b _{2} )}{2}$