A rectangular field has a perimeter of 194 feet. The length is 7 feet more than four times the width.
What is the length and what is the width?
w = width
4w + 7 = length {length is 7 more than 4 times width} Perimeter of a rectangle = 2(width) + 2(length) 2w + 2(4w + 7) = 194 {perimeter equals 2(width) + 2(length)} 2w + 8w + 14 = 194 {used distributive property} 10w + 14 = 194 {combined like terms} 10w = 180 {subtracted 14 from each side} w = 18 {divided each side by 10} 4w + 7 = 79 {substituted 18, in for w, into 4w + 7} width = 18 feet length = 79 feet Ask the House
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