Question

A rectangular yard is X feet wide. The yard is 4 feet longer than it is wide. The perimeter P of yard is given by the equation P= 4x + 8. If the perimeter of the yard is 84 feet how long is the yard?

A. 19 feet
B. 23 feet
C. 24 feet
D. 28 feet

Answer 1

Given:

Width of the rectangular yard = x feet

Length of the rectangular yard = x+4 feet

Perimeter of the rectangular yard is:

`P=4x+8`

Perimeter of the yard = 84 feet

To find:

The length of the rectangular yard.

Solution:

Perimeter of the yard is 84 feet.

`4x+8=84`

`4x=84-8`

`4x=76`

Divide both sides by 4.

`x=(76)/(4)`

`x=19`

So, the width of the rectangular yard is 19 feet.

Length =
`19+4`

Length =
`23`

The length of the rectangular field is 23 feet.

Therefore, the correct option is B.