Question

if these two shapes are similar, what is the measure of the missing length q?
5 yd
10 yd
q
2 yd
q = \boxed{} yards
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work it out

Explanation:

Step1: Set up proportion for similar shapes

Since the shapes are similar, the ratios of corresponding sides are equal. So, $\frac{q}{5}=\frac{2}{10}$.

Step2: Solve for q

Cross - multiply: $10q = 5\times2$. Then $10q=10$. Divide both sides by 10: $q = \frac{10}{10}=1$.

Answer:

1