Question

if these two shapes are similar, what is the measure of the missing length x?
100 in
40 in
30 in
x = inches

Explanation:

Step1: Set up proportion

Since the shapes are similar, the ratios of corresponding sides are equal. So, \(\frac{x}{30}=\frac{40}{100}\).

Step2: Solve for \(x\)

Cross - multiply: \(100x = 40\times30\). Then \(100x=1200\). Divide both sides by 100: \(x=\frac{1200}{100}\).

Answer:

\(12\)