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? \bigcirc $5y - 9$ inches \bigcirc $5y^4 - 9x^3$ inches \bigcirc $7y - 13$ inches \bigcirc $7y^4 - 13x^3$ inches

Explanation:

Step1: Recall regular pentagon side rule

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

Step2: Substitute perimeter into formula

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

Step3: Distribute division to each term

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

Answer:

7y⁴ – 13x³ inches