The perimeter of a rectangle is 96 feet, and the width is 22 feet. What is the length of the rectangle?

Mathematics

1 answer:

DiKsa [7]2 years ago

3 0

Answer:

26 feet

Step-by-step explanation:

The perimeter of a rectangle is 2 times its length and 2 times its width, or $2l+2w=P$ . Let's plug in the given values for the width and perimeter and solve.

$2l+2(22)=96$

Simplify.

$2l+44=96$

Subtract 44 on both sides.

$2l+44-44=96-44$

Simplify.

$2l=52$

Divide by 2 on both sides.

$\frac{2l}{2} =\frac{52}{2}$

Simplify again to find the value of $l$ .

$l=26$

The length is 26 feet.

Good luck <3

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