Question

rectangle r is a scaled copy of rectangle q. what is the value of x?

Explanation:

Step1: Set up proportion

Since rectangle \(R\) is a scaled copy of rectangle \(Q\), the ratios of corresponding sides are equal. So, \(\frac{30}{x}=\frac{15}{9}\).

Step2: Cross - multiply

Cross - multiplying gives \(15x = 30\times9\).

Step3: Solve for \(x\)

First, calculate \(30\times9 = 270\). Then, \(x=\frac{270}{15}\).

Answer:

\(18\)