Question

the small rectangle was enlarged to create the big rectangle.
what is the missing measure on the big rectangle?

Explanation:

Step1: Set up the proportion

Since the rectangles are similar (enlarged proportionally), the ratios of their corresponding sides are equal. So, we have the proportion \(\frac{2}{5}=\frac{12}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(2x = 5\times12\).

Step3: Solve for \(x\)

First, calculate \(5\times12 = 60\). Then, from \(2x=60\), divide both sides by 2: \(x=\frac{60}{2}\).

Answer:

\(x = 30\) feet.