The length of a rectangle is 12 centimeters more than three times its width. The perimeter of the rectangle is 52 cm. What are the dimensions of the rectangle?

Question

 The length of a rectangle is 12 centimeters more than three times its width. The perimeter of the rectangle is 52 cm. What are the dimensions of the rectangle?



Answer 1

L=12+3W

52 = 2L + 2W = 2(12+3W) + 2W = 8W + 24

8W = 52-24 = 28

W = 28/8 = 7/2 = 3 1/2 cm

L = 12+3(7/2) = 12 + 21/2 = 24/2 + 21/2 = 45/2 = 22 1/2 cm