Question

A rectangle has a length that is unknown but is 12 inches longer than its width, w. The perimeter of the rectangle is 104 inches.

(a) Write an expression for the length of the rectangle in terms of w. Label it on the diagram. (b) Write an equation using the perimeter to find the value of w. Solve it for w.

Answer 1

I think the answer is 20

Answer 2

`2w+2(w+12)=P (104)` and
`w=20`

Explanation:

We know that the following equation represents the problem:

`2w+2(w+12)= P`

So this means that we can do this:

`4w+24= P`

We know that
`P` is 104. We need to fix our current equation, giving us:

`4w+24=104`

We can subtract 24 to give us
`w` as a standalone with a coefficient.

`104-24=80`

`4w=80`

Then, simply divide the answer by the coefficient to give us the answer of:

`80/4=20\\`

`w=20`

`w` is 20.