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)
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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= 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}
Ask Algebra House
