the length of a rectangle is 50 centimeters longer than the width. If the perimeter is 220 centimeters, find the width and length

w = width

w + 50 = length {length is 50 longer than the width}

Perimeter of a rectangle = 2 (width) + 2 (length)

2w + 2 (w + 50) = 220 {substituted width and length into perimeter formula}

2w + 2w + 100 = 220 {used distributive property}

4w + 100 = 220 {combined like terms}

4w = 120 {subtracted 100 from each side}

w = 30 {divided each side by 4}

w + 50 = 80 {substituted 30, in for w, into w + 50}

width = 30 cm

length = 80 cm