Question 165662
The width of a rectangle is 3 feet less than its length. if the perimeter is 22 feet, what are both its length and width?

width = x - 3

length = x

perimeter = 22

P = 2L + 2W

22 = 2x + 2(x - 3)

22 = 2x + 2x - 6

22 = 4x - 6

22 + 6 = 4x

28 = 4x

28/4 = x

7 = x

Since x = length, then length is 7 feet.

Our width is x - 3.

Replacing x with 7 and subtracting 3, will give us 4 feet.

Final answer: width = 4 feet and length = 7 feet.