How to find if trapezoids are similar

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ACT Math › How to find if trapezoids are similar

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Trapezoid A and Trapezoid B are similar. The bases of Trapezoid A are and . Trapezoid B has a smaller base of . How long is the larger base of Trapezoid B?

CORRECT

Explanation

Because the two trapezoids are similar, the ratio of their bases must be the same. Therefore, we must set up a cross-multiplication to solve for the missing base:

$\small \frac{6}{x}=\frac{9}{12}$ , using $\small x$ as the variable for the missing base.