Question

Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug?

Answer 1

A rectangle has 2 sets of 2 sides; each set has the same length or width (depending on where it is on the rectangle).

If you have 2 sides with length, which can be expressed as 2L, and 2 sides of width, which can be expressed as 2(5) because they gave you the width in the problem, and the perimeter is 16...

2L + 2(5)=16. All you have to do is solve for L, which means length. 

2*5 is 10.

2L + 10 =16.

Subtract 10 on both sides.

2L = 6.

Divide both sides by 2.

L=3.

The length is 3. Let's check to make sure we're right:

2(3) + 2(5) = 16.

2*5 is 10, and 2*3 is 6. 6 + 10 is 16. We did it! I hoped this helped!

Please don't forget to choose which answer is Brainliest!