Question

the rectangle below has an area of 144x^{4} square meters and a width of 12x meters. what is the length of the rectangle? length length = meters

Explanation:

Step1: Recall area formula

The area formula of a rectangle is $A = l\times w$, where $A$ is area, $l$ is length and $w$ is width. We need to find $l$, so $l=\frac{A}{w}$.

Step2: Substitute values

Given $A = 144x^{4}$ and $w = 12x$. Then $l=\frac{144x^{4}}{12x}$.

Step3: Simplify the expression

Using the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$ and $\frac{144}{12}=12$, we have $l = 12x^{4-1}=12x^{3}$.

Answer:

$12x^{3}$