Question

consider the reduction of the rectangle. rounded to the nearest tenth, what is the value of x? 2.3 ft 16.8 ft not drawn to scale x ft 4.5 ft 1.6 feet 0.6 feet 2.0 feet 0.1 feet

Explanation:

Step1: Set up proportion

Since the rectangles are similar, the ratios of their corresponding sides are equal. So, \(\frac{2.3}{16.8}=\frac{x}{4.5}\).

Step2: Solve for \(x\)

Cross - multiply: \(16.8x = 2.3\times4.5\). Then \(16.8x=10.35\). So, \(x=\frac{10.35}{16.8}\approx0.6\).

Answer:

\(0.6\) feet