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?

Question

asked Jan 17, 2024 159k views

1 Answer

Joviallix · Answer 1 · 2024-01-20T23:20:54+0000

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