Question

1. two rectangles are similar. one has a length of 14 cm and a width of 9 cm, and the other has a width of 3 cm. find the length of the second rectangle. round to the nearest tenth if necessary

1.9 cm
4.7 cm
3.5 cm
5.4 cm

Explanation:

Step1: Set up proportion

Since the rectangles are similar, the ratios of their corresponding sides are equal. Let \( x \) be the length of the second rectangle. The proportion is \(\frac{14}{9}=\frac{x}{3}\).

Step2: Solve for \( x \)

Cross - multiply: \(9x = 14\times3\). Then \(9x=42\), and \(x=\frac{42}{9}\approx4.7\).

Answer:

\(4.7\) cm