A rectangle with a perimeter of 92 inches has a length of 14 inches longer than its width. what is its width in inches?

Question

hard question, i dont understand

Answer 1

What we know:

Perimeter= 92

Length= width +14

The perimeter is comprised of the sum of all four sides:

P= 2L + 2 W

Since we know L=W + 14, we can substitute that in to the perimeter equation:

P= 2 (W + 14) + 2W

P= 2W + 28 + 2W

P= 4W +28

We know P=92, therefore:

92= 4W + 28

From there we are now solving for a single variable, and should get an answer that directly gives the width.