Question

The length and width of a rectangle are consecutive even integers. The perimeter is 92 meters. Find the length and width!

Answer 1

w represents the width

w + 2 represents the length

2(w + w +2) = 76 formula for perimeter

w + w + 2 = 38 divide both sides by 2

2w + 2 = 38 combine like terms

2w = 36 subtract 2 from both sides

w = 18 divide both sides by 2