Question

PLEASE HELP

The area of a rectangle in square inches is
shown below. If the length of the rectangle is
x - 4 inches, write an expression to represent
the width of the rectangle.
Your answer
A = 5x² 18x - 8
1 points

Answer 1

• -4x² + 14x + 8

Step-by-step Step-by-step explanation:

It's given that, The area of a rectangle in square inches is 5x² - 18x - 8 and the length of the rectangle is x - 4 inches.

Let the width of the rectangle be x inchez

We know that area of Rectangle is calculated by,

`:\implies` Length × width = area

Substituting the values we get,

`:\implies` (x - 4)(x) = 5x² - 18x - 8

`:\implies` x² - 4x = 5x² - 18x - 8

`:\implies` x² - 5x² - 4x + 18x = -8

`:\implies` -4x² + 14x = -8

`:\implies` -4x² + 14x + 8 = 0

Hence, This is the required expression which represent the width of the rectangle.