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?
A. 6x² + 2x – 1
B. 8x² + 2x – 1
C. 8x² – 2x – 1
D. 8x² + 6x – 1

Question

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? 
	A.	6x² + 2x – 1 
	B.	8x² + 2x – 1 
	C.	8x² – 2x – 1
	D.	8x² + 6x – 1

campbell_st · Answer

so the length is 

$$2 \times(2x + 1) - 3 = 4x + 2 - 3 = 4x -1$$

so you are finding the area of a piece of carpet 

A = (4x -1)(2x + 1)

you just need to distribute