The length of a rectangle is 12 centimeters less than 5 times its width. The perimeter of the rectangle is 156 cm. What are the dimensions of the rectangle?

Question

Type your answer as width x length

Answer 1

Let width = x

length = 5x-12

Perimeter = w+w+l+l or Perimeter = 2w+2l

156=x+x+5x-12+5x-12 Combine like terms

156=12x-24 Add 24 to both sides

156+24=12x-24+24 simplify

180=12x Divide both sides by 12

180/12=12x/12

x=15

Next calculate the length

length = 5x-12 = 5(15)-12

length = 63

Dimensions are 15 cm x 63 cm

Answer 2

Let L=length W=width answer is 15 and 63 centimeters

L=5W-12 length is 12 less than 5 times width

156=2L+2W perimeter is 2 times L+W

=2(5W-12)+2W

=10W-24+2W

=12W-24

156=12W-24

12W=156+24

12W=180

W=180/12=15

2L=156-2W

2L=156-30=126

L=126/2=63

W=15 L=63 Perimeter = 2(15+63)=2(78)=156

L=5W-12 = 5(15)-12=75-12=63