Question

the rectangle below has an area of 12y^5 square meters and a width of 3y^3 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 find $l$, so $l=\frac{A}{w}$.

Step2: Substitute given values

Given $A = 12y^{5}$ and $w = 3y^{3}$, then $l=\frac{12y^{5}}{3y^{3}}$.

Step3: Simplify the expression

Using the quotient - rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$ and $\frac{12}{3}=4$, we have $l = 4y^{5-3}=4y^{2}$.

Answer:

$4y^{2}$