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