Question

the length of a rectangle is six feet more than its width, and the perimeter is 80 feet. find the length and width of the rectangle

Answer 1

Well first lets write an expression to describe the relationship. Since we are looking for the perimeter of a rectangle, we just take add the length and the width and double.

2L + 2W = 80

It says that the length is six feet more than width, so:

L = W + 6

Now we can go ahead and plug in the L back into our original equation

2(W+6) + 2W = 80

2W + 12 + 2W = 80

4W + 12 = 80

4W = 68

W = 17

Remember it said that Length was six more than width? well since we know the width, we can use that to find the length:

L = W + 6

L = 17 + 6

L = 23

so your Length is 23 and the Width is 17