What are the length and width of a rectangular traffic sign if the length exceeds the width by 10 inches and the perimeter is 152 inches?

Question

What are the length and width of a rectangular traffic sign if the length exceeds the width by 10 inches and the perimeter is 152 ​inches?

Answer 1

Perimeter = 2(length) + 2(width)

width = x

length = 10 + x

Plug in width and length into perimeter equation. Solve for x

Perimeter = 2(10 + x) + x

Perimeter = 20 + 2x + x

Perimeter = 20 + 3x

152 = 20 + 3x

132 = 3x

44 = x