An airplane ticket has an area of 200 square centimeters. It perimeter is 60 centimeters. What are the dimensions of ticket?

Answer 1

A=200 = LW

P=60 = 2L + 2W

60 = 2(200/W) + 2W = 400/W + 2W

400 + 2W^2 = 60W

2W^2 -60W + 400 = 0

W^2 -30W + 200 = 0

W-30W + 225 = 225-200 = 25

(W-15)^2 = 5^2

W-15 = + or -5

W = 15 + or - 5 = 10 or 20

L = 200/10 or 200/20 = 20 or 10

dimensions are 10 by 20 centimeters