Question

GEOMETRY What is the length of the rectangle with an area of (x³ - 4x²) units² given that the width is x² units?

Write your answer in standard form.

Answer 1

The length of the rectangle is (x - 4) units

Explanation:

The area of a rectangle is given by the formula
`A=lw`, where A is the area, L is the length, and W is the width. We are given that the width is x² units, and the area is (x³ - 4x²) units². So we can use this information to find the length:

`(x^(3) -4x^(2))=l(x^(2))`

Simplify

`x-4=l`

The length of the rectangle is
`(x-4)` units