The length and width of a rectangle are consecutive even integers. The perimeter of the rectangle is 100 centimeters. Find the length and width of the rectangle.

Question

i need help

Answer 1

w = width

w + 2 = length

2(w + w +2) = 100 is the formula for perimeter

w + w + 2 = 50 -  divide both sides by 2

2w + 2 = 50   -   combine the like terms

2w = 48     -   subtract 2 from both sides of the equation

w = 24        -    divide both sides by 2

perimeter formula is 2(length + width), so plug in 24 for the width

2(l + 24) = 100

l + 24 = 50

l = 26

so, the width is 24, and the length is 26!