The length of a rectangle is three inches shorter than four times the width. If the perimeter of the rectangle is 96 inches, determine the length and width of the rectangle.

Width = 10.2 inches

Length = 37.8 inches

Step-by-step explanation:

Let's look at it this way:

length = l

width = w

2l + 2w = 96

l = 4w - 3

substitute.

2 (4w - 3) + 2w = 96

Solve for w.

8w - 6 + 2w = 96

10w = 102

w = 10.2

10.2 * 4 = 40.8

40.8 - 3 = 37.8

l = 37.8