Question

these shapes are similar. find x.

Explanation:

Step1: Set up the proportion

Since the shapes are similar, the ratios of corresponding sides are equal. So, \(\frac{20}{40}=\frac{x}{20}\).

Step2: Cross - multiply

Cross - multiplying gives \(40x = 20\times20\).

Step3: Simplify the right - hand side

\(20\times20 = 400\), so the equation becomes \(40x=400\).

Step4: Solve for \(x\)

Divide both sides by 40: \(x=\frac{400}{40}\).

Answer:

\(x = 10\)