The perimeter of a rectangle is 74 feet. the length of the rectangle is 3 feet less than 4 times the width. what is the width of the rectangle in feet?

74 = 2l+2w

l=4w-3

Substitute the l value

74 = 2 (4w-3) + 2w

74 = 8w-6+2w

74=10w-6

80=10w

8=w

Final answer: 8 ft

To check, find length and plug values in

l = 4w-3

l=4 (8) - 3

l=32-3

l=29

74=2 (29) + 2 (8)

True

29 = 4 (8) - 3

True