Perimeter as a Function of Width

The length of a rectangular table cloth is 2 ft more than the width. If the table cloth is w feet wide, express the
​perimeter as a function of the width.

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Perimeter of a rectangle
= 2(width) + 2(length) 

w = width
w + 2 = length   {length is 2 more than the width}

P(w) = 2w + 2(w + 2)   {substituted width and length into perimeter}
= 2w + 2w + 4   {used distributive property}
P(w) = 4w + 4   {combined like terms}

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