How to find if trapezoids are similar - ACT Math
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Question
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?
Trapezoid A and Trapezoid B are similar. The bases of Trapezoid A are
Answer
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:
, using 
as the variable for the missing base.
Therefore, the length of the longer base of Trapezoid B is 
.
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:
Therefore, the length of the longer base of Trapezoid B is
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