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these two shapes are similar. find c. 2 ft. 6 ft. 3 ft. c c = feet

Question

these two shapes are similar. find c. 2 ft. 6 ft. 3 ft. c c = feet

Explanation:

Step1: Set up proportion

For similar shapes, the ratios of corresponding sides are equal. Let the ratio of the short - side to the long - side of the first shape be equal to the ratio of the short - side to the long - side of the second shape. So, $\frac{2}{6}=\frac{3}{c}$.

Step2: Cross - multiply

Cross - multiplying gives us $2c = 3\times6$.

Step3: Simplify and solve for c

$2c=18$, then $c=\frac{18}{2}=9$.

Answer:

9