Question

joan is building a sandbox in the shape of a regular pentagon. the perimeter of the pentagon is $35y^{4}-65x^{3}$ inches.
what is the length of one side of the sandbox?
$5y - 9$ inches
$5y^{4}-9x^{3}$ inches
$7y - 13$ inches
$7y^{4}-13x^{3}$ inches

Explanation:

Step1: Recall regular pentagon side rule

A regular pentagon has 5 equal sides, so side length = $\frac{\text{Perimeter}}{5}$.

Step2: Substitute given perimeter

Side length = $\frac{35y^4 - 65x^3}{5}$

Step3: Divide each term by 5

$\frac{35y^4}{5} - \frac{65x^3}{5} = 7y^4 - 13x^3$

Answer:

7y⁴ - 13x³ inches