Question

if these two shapes are similar, what is the measure of the missing length x?
4 ft
2 ft
x
1 ft
x = \square feet

Explanation:

Step1: Set up proportion for similar shapes

Since the shapes are similar, the ratios of corresponding sides are equal. So, $\frac{4}{x}=\frac{2}{1}$.

Step2: Solve for \( x \)

Cross - multiply: \( 2x = 4\times1 \). Then, \( 2x = 4 \). Divide both sides by 2: \( x=\frac{4}{2}=2 \).

Answer:

2