Question

The area, in square units, of a rectangle is represented by (9x^3 -12x^2 +6x) If the width, in units, is 3x, what is the length, in units?

Answer 1

3x^2 - 4x + 2

The area of the rectangle is given by the expression 9x^3 - 12x^2 + 6x.

The width of the rectangle is 3x.

To find the length you can divide the area by the width.

Length = Area / Width

Substituting the given values

Length = (9x^3 - 12x^2 + 6x) / (3x)

simplify the expression by factoring out a common term.

Length = 3x (3x^2 - 4x + 2) / (3x)

Canceling out the common term 3x

Length = 3x^2 - 4x + 2

Answer 2

Area of rectangle = width × Length

9x³ - 12x² + 6x = 3x × Length


Length = ( 9x³ - 12x² + 6x ) / 3x

Length = 3X² - 4X + 2