Question

the rectangle below has an area of $18x^3$ square meters and a length of $2x^2$ meters.
what is the width of the rectangle?
width = $square$ meters

Explanation:

Step1: Recall area formula for rectangle

The area of a rectangle is given by $A = l \times w$, where $A$ is area, $l$ is length, and $w$ is width. Rearranged for width: $w = \frac{A}{l}$

Step2: Substitute given values

Substitute $A = 18x^3$ and $l = 2x^2$ into the formula:
$w = \frac{18x^3}{2x^2}$

Step3: Simplify the expression

First simplify the coefficients: $\frac{18}{2} = 9$. Then simplify the variable terms using exponent rules $\frac{x^a}{x^b}=x^{a-b}$: $\frac{x^3}{x^2}=x^{3-2}=x^1=x$. Combine the results: $w = 9x$

Answer:

$9x$ meters