Problema Solution

Traffic signs are regulated by the Manuel on Uniform Traffic Control Devices (MUTCD). The perimeter of some traffic sign must be 80 inches. Also, its length is 8 inches longer than its width. Find the dimensions of this sign.

Answer provided by our tutors

perimeter= 2(width + length), all measurements in inches

let width= x, and so lenght = x +8, perimeter=80

so

80 = 2(x + x + 8) <=> 40=2x + 8

2x = 40 -8 = 32

 therefore, width,  x = 16inches

length = x +8 = 16 +8 =24inches