Question

The length of a rectangular piece of carpet is 4 yards greater than the width. How do you express the area of the carpet as a function of the width?

Answer 1

Area (as a fun. of width `w) = w^2+4w.` sq.yards.

Explanation:

Denote by `w` the width of the rectangular piece of carpet.

Then, by what is given in the problem, length`=4+width=4+w.`

So the Area = length x width `=(4+w)w=w^2+4w` sq.yrd., as a fun. of width `w`.