Question

1. two rectangles are similar. one has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm. find the length of the second rectangle. round to the nearest tenth if necessary. 6.4 cm 5.8 cm 7.7 cm 8.9 cm

Explanation:

Step1: Set up the proportion

Since the rectangles are similar, the ratios of their corresponding sides are equal. Let the length of the second rectangle be \(x\). The proportion is \(\frac{11}{x}=\frac{10}{7}\).

Step2: Cross - multiply

Cross - multiplying gives \(10x = 11\times7\).

Step3: Solve for \(x\)

We have \(10x=77\), then \(x=\frac{77}{10}=7.7\).

Answer:

7.7 cm