The length of a rectangular carpet is 3 feet longer than twice its width. If the area of the carpet is 65 square feet, what is its perimeter?

Step-by-step explanation:

Given

Represent the Length as L and the Width as W.

So, we have the following:

Required

Determine the perimeter

The area of a rectangle is calculated as thus:

Substititute 65 for Area

Substitute 2W + 3 for L

This gives:

Equate to 0

Expand:

Factorize:

or

But width can't be less than 0.

So:

Recall that:

The perimeter is calculated as thus:

replace   with   27   and simplify.

10 , 27 , 10 , 70 , 10 , 35 , 10 , 48

step-by-step explanation: