What is the width?

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?

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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

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