The length of a rectangle is 5m longer than its width. If the perimeter of the rectangle is 30m, find the area.
w = width
w + 5 = length {length is 5 more than the width} Perimeter of a rectangle = 2(width) + 2(length) 2w + 2(w + 5) = 30 {substituted width and length into perimeter formula} 2w + 2w + 10 = 30 {used distributive property} 4w + 10 = 30 {combined like terms} 4w = 20 {subtracted 10 from each side} w = 5 {divided each side by 4} w + 5 = 10 {substituted 5, in for w, into w + 5} width = 5m length = 10m Area of a rectangle = length x width = 10 x 5 {substituted length and width into area formula} Area = 50m² {multiplied} Ask the House
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