Question

1. rectangle a is a scaled copy of rectangle q.

15
30
what is the value of x?

Explanation:

Step1: Find the scale factor

Since rectangle \(A\) is a scaled copy of rectangle \(Q\), the ratio of corresponding sides is the same. The ratio of the longer sides is \(\frac{9}{15}\).

Step2: Set up a proportion

Let \(x\) be the shorter side of rectangle \(A\). We have the proportion \(\frac{x}{30}=\frac{9}{15}\).

Step3: Solve the proportion

Cross - multiply: \(15x = 30\times9\). Then \(15x=270\). Divide both sides by \(15\): \(x=\frac{270}{15}\).

Answer:

\(x = 18\)