Question

16 if these two shapes are similar, what is the measure of the missing length x? 4 m 1 m 12 m x x = miles.

Explanation:

Step1: Set up proportion for similar shapes

Since the shapes are similar, the ratios of corresponding sides are equal. Let the corresponding sides be \(1\) m (pink) and \(x\) (green), and \(4\) m (pink) and \(12\) m (green). So the proportion is \(\frac{1}{x}=\frac{4}{12}\).

Step2: Solve for \(x\)

Cross - multiply: \(4x = 1\times12\). Then \(4x=12\). Divide both sides by \(4\): \(x=\frac{12}{4}=3\).

Answer:

\(3\)