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.

perimeter as a function of the width.

**Perimeter of a rectangle**

= 2(width) + 2(length)

= 2(width) + 2(length)

**w = width**

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

w + 2 = length

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}

*Ask Algebra House*

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