Question

the ratio of the length to the width of a rectangle is 10:6. if the perimeter of the rectangle is 160 meters, find the measure of the width.

Answer 1

Given:

The ratio of the length to the width of a rectangle is 10:6.

Perimeter = 160 meters

To find:

The measure of the width.

Solution:

Let the length and width of the rectangle be 10x and 6x respectively.

Perimeter of a rectangle is

`P=2(l+w)`

where, l is length and w is width.

Putting P=160, l=10x and w=6x, we get

`160=2(10x+6x)`

`160=2(16x)`

`160=32x`

Divide both sides by 32.

`(160)/(32)=x`

`5=x`

Now,

`Width=6x`

`Width=6(5)`

`Width=30`

Therefore, the width of the rectangle is 30 meters.