Question

the small rectangle was enlarged to create the big rectangle. what is the missing measure on the big rectangle? 24 feet 6 feet 30 feet 10 feet

Explanation:

Step1: Set up proportion

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

Step2: Cross - multiply

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

Step3: Simplify the right - hand side

\(5\times12 = 60\), so the equation becomes \(2x=60\).

Step4: Solve for \(x\)

Divide both sides by 2: \(x=\frac{60}{2}\).

Answer:

\(30\) feet