Question

The length of a rectangle is 6 inches longer than its width, x. The perimeter of the rectangle is 36 inches. Which is the width of the rectangle, x?

Answer 1

The width of the rectangle is 6 inches and length of rectangle is 12 inches.

Explanation:

We have given the perimeter of the rectangle and the length of a rectangle is 6 inches longer than its width.

Let x be the width of the rectangle and x+6 be the length of the rectangle.

Perimeter = p = 36 inches

We have to find the values of width and length of rectangle.

The formula to find the Perimeter is:

p = 2l+2w

36 = 2(x+6)+2(x)

36 = 2x+12+2x

36 = 4x+12

36-12= 4x

24 = 4x

x = 6 inches.

Hence, the width of the rectangle is 6 inches and length of rectangle is 12 inches.

Answer 2

The width of the rectangle is 6 units.

Explanation:

The width of the rectangle is
`x` units.

The length of the rectangle is
`x+6` units.

The perimeter is

`P=2l+2w`

This implies

`36=2(x+6)+2x`

Expand;

`36=2x+12+2x`

Group like terms;

`2x+2x=36-12`

`4x=24`

`x=6`