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SAT® Subject Test in Math 1 & 2

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Area of a Trapezoid Formula

SATSTM-NKFOJV

Given the formula for the area of a trapezoid: $$\text{A}=\cfrac{1}{2}({b}_{1}+{b}_{2})h$$

...which one of the following is correct when solving for ${b}_{1}$?

A

${b}_{1}=\cfrac{A}{2h}-{b}_{2}$

B

${b}_{1}=\cfrac{2A}{h}-{2b}_{2}$

C

${b}_{1}=\cfrac{2A-{b}_{2}}{h}$

D

${b}_{1}=\cfrac{2A-{hb}_{2}}{h}$

E

${b}_{1}=2Ah-{b}_{2}$