Question

if these two shapes are similar, what is the measure of the missing length x?
75 ft
50 ft
6 ft
x = □ feet
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Explanation:

Step1: Set up proportion

Since the shapes are similar, the ratios of corresponding sides are equal. So, \(\frac{x}{6}=\frac{75}{50}\).

Step2: Solve for \(x\)

Cross - multiply: \(50x = 75\times6\). Then \(50x=450\). Divide both sides by 50: \(x=\frac{450}{50}\).

Answer:

\(x = 9\) feet