Question

the rectangle below has an area of 35x^{3} square meters and a width of 5x meters. what is the length of the rectangle? 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 solve for $l$, so $l=\frac{A}{w}$.

Step2: Substitute given values

Given $A = 35x^{3}$ and $w = 5x$. Then $l=\frac{35x^{3}}{5x}$.

Step3: Simplify the expression

Using the quotient - rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$ and $\frac{35}{5}=7$, we have $\frac{35x^{3}}{5x}=7x^{3 - 1}=7x^{2}$.

Answer:

$7x^{2}$