Question

The perimeter of a rectangle is 28 feet. Thength is 4 feet more than the width. What is the length of the Rectangle?

Answer 1

length = 9 feet

Explanation:

We know that the formula for perimeter (P) is P = 2w + 2l

Because we're told that the length (l) is 4 feet more than the width (w), our formula for length is l = w + 4

We can now substitute w + 4 for l in the perimeter formula and 28 for P. This will allows us to first solve for the width:

`28 = 2(w+4)+2w\\28=2w+8+2w\\28=4w+8\\20=4w\\5=w`

Now we can plug in 5 for w in our length formula to find the length:

`l = 5 + 4\\l = 9`

We can check our solutions by plugging in 5 for w and 9 for l in the perimeter formula and check whether we get 28 as an answer:

`2(9) + 2(5)=28\\18+10=28\\28=28`