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.

$x=\dfrac{76}{4}$

$x=19$

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.