Question

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.

Answer 1

The answer would be 7.7 cm

Answer 2

The length of the rectangle is 7.7 cm.

Explanation:

When two rectangle are similar then the ratio of their length is equal to the ratio of their width,

Given,

The length of one rectangle = 11 cm,

Its width = 10 cm,

Also, the width of the second rectangle = 7 cm,

Let l be the length of the second rectangle,

By the above property,

`(l)/(11)=(7)/(10)`

`\implies l = (77)/(10)=7.7\text{ cm}`

Hence, the length of the second rectangle is 7.7 cm.