Question

The length of a rectangle is 5.7 cm more than 2 times the width. If the perimeter is 32.4 cm what are it’s dimensions

Answer 1

Dimensions of rectangle are
`length = 12.7cm` and
`width=3.5cm`

Explanation:

Let w be the width of the rectangle.

Given:

The length of a rectangle is 5.7 cm more than 2 times the width.

So,
`length = 5.7+2* w`----(1)

Perimeter of the rectangle is 32.4 cm.

The perimeter of the rectangle
`=2(length + width)`

`2(length + width)=perimeter`

`2((5.7+2* w)+ w)=32.4`

`5.7+3* w=(32.4)/(2)`

`3* w=16.2-5.7`

`3* w=10.5`

`w=(10.5)/(3)`

`w=3.5cm`

width is 3.5 cm

Put the width value in equation 1.

`length = 5.7+2* 3.5`

`length = 5.7+7`

`length = 12.7cm`

length = 12.7 cm

Therefore, Dimensions of rectangle are
`length = 12.7cm` and
`width=3.5cm`