Question

The area of a rectangle is represented by 21x^2-x-2. The length is represented by 7x+2. What is the width of the rectangle?

Answer 1

Answer: W = 3x - 1

Explanation:

The area of a rectangle is defined as:

W x L = Area

Solving for width, you get the equation:

W =
`(Area)/(L)`

Where:

Area =
`21x^(2) -x-2`

L =
`7x + 2`

Simplifying the equation, you get:

W =
`(21x^(2) -x-2)/(7x+2)`

W =
`((3x-1)(7x+2))/(7x+2)`

W = 3x - 1