Question

The perimeter of a rectangle is 60 meters. Its length is 10 meters. What is its width?​

Answer 1

`\boxed {\tt 20 \ meters}`

Explanation:

The perimeter of a rectangle can be found using the following formula.

`p= 2l+2w`

We know the perimeter is 60 meters and the length is 10 meters.

`p=60 \ m`

`l= 10 \ m`

Substitute the values into the formula.

`60 \ m = 2(10 \ m) + 2w`

Multiply 2 and 10.

`60 \ m = 20 \ m +2w`

Subtract 20 from both sides of the equation.

`60 \ m - 20 \ m = 20 \ m - 20 \ m +2w`

`60 \ m - 20 \ m =2w`

`40 \ m = 2w`

Divide both sides of the equation by 2.

`(40 \ m)/(2) =(2w)/(2)`

`(40 \ m)/(2) =w`

`20 \ m =w`

The width of the rectangle is 20 meters.