Question

The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 54 inches, find the length

Answer 1

w - width

3w - 1 - length

54 in - perimeter

w + w + (3w - 1) + (3w - 1) = 8w - 2 - perimeter

The equation:

8w - 2 = 54      add 2 to both sides

8w = 56     divide both sides by 8

w = 7

3w - 1 = 3(7) - 1 = 21 - 1 = 20

Answer: The length = 20 in.