Question

Find the dimensions of a rectangle whose perimeter is 22 meters and whose area is 28 square meters.

The side of the retangle measure ? Meters

Answer 1

I hope this helps you

Answer 2

The length is 7 meters.

The width is 4 meters.

Explanation:

The area of the rectangle is = 28 sq meter

The perimeter of the rectangle is = 28 sq meter

Now, in terms of formula these can be written as :

`l* w=28`

or
`l=(28)/(w)` ....(1)

`2l+2w=22`

Dividing by 2

`l+w=11` .... (2)

Now, putting (1) in (2)

`(28)/(w)+w=11`

`28+w^(2) =11w`

`w^(2)-11w+28=0`

`w^(2)-7w-4w+28=0`

`w(w-7)-4(w-7)=0`

`(w-4)(w-7)=0`

This gives width as 4 , so length = 7

Or width as 7 , so length = 4

Therefore, the length is 7 meters.

The width is 4 meters.