The length of a rectangle is seven more than triple the width. If the perimeter is 174 inches, find the dimensions.
w = width
3w + 7 = length {length is seven more than triple the width} Perimeter of a rectangle = 2(width) + 2(length) 2w + 2(3w + 7) = 174 {substituted width and length into perimeter formula} 2w + 6w + 14 = 174 {used distributive property} 8w + 14 = 174 {combined like terms} 8w = 160 {subtracted 14 from each side} w = 20 {divided each side by 8} 3w + 7 = 67 {substituted 20, in for w, into 3w + 7} width = 20 length = 67 Ask the House
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