The perimeter of a rectangle is 37. The length is 1 less than 12 times the width. What is the length and width of the rectangle?

Width = W

Length = 12W - 1

Perimeter = 2L + 2W = 37

In the perimeter equation substitute the length equation in for L to get the equation in terms of W

2L + 2W = 37

2 (12W - 1) + 2w = 37

Distribute

2 (12W - 1) + 2w = 37

24W - 2 + 2w = 37

26W = 39

W = 3/2 = 1.5

Width = 1.5

Lastly, solve for length

L = 12W - 1

L = (12 • 1.5) - 1

L = 18 - 1

L = 17

Length = 17