Question

A carpenter wants to place carpet in a bedroom. The area of the rectangular floor is represented by the expression 12x^3 + 18x^2 - 24x If the length of the floor is 6x, what is the width of the floor?

Answer 1

Divide the expression for the area by the length 6x   ( width = area/length)

this gives the width :-

= 2x^2 + 3x - 4   Answer

Answer 2

Answer:

The width of the floor is $2x^2+3x-4$.

Step-by-step explanation:

It is given that the area of the rectangular floor is represented by the expression

$12x^3+18x^2-24x$

The area of a rectangle is

$A=length\times width$

$\frac{A}{length}=width$

It is giver that the length of the floor is 6x. So, the width of the floor is

$width=\frac{12x^3+18x^2-24x}{6x}$

It can be written as

$width=\frac{12x^3}{6x}+\frac{18x^2}{6x}-\frac{24x}{6x}$

$width=2x^2+3x-4$

Therefore the width of the floor is $2x^2+3x-4$.