If the width of a rectangular piece of carpet is 2x + 1 yards and the length is three yards less than twice as long as the width, what is the area of the carpet?

Question

zepdrix · Answer

$$\large w=2x+1$$
The length is a little bit less than twice as long as the width.
If it was twice as long as the width, we would write it as,$$\large l=2w$$
But it's not quite that long, it's 3 yards less than that.$$\large l=2w-3$$
If we plug in our $\large w$ we can get an equation for the length.

$$\large l=2(2x+1)-3$$

zepdrix · Answer

Then to get the area, we'll have to multiply $\large l$ and $\large w$.