Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the length of one side of the sandbox? 5y – 9 inches 5y4 – 9x3 inches 7y – 13 inches 7y4 – 13x3 inches

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Answer:

Step-by-step explanation:

given that Joan is building a sandbox in the shape of a regular pentagon.

The perimeter of the pentagon is

[tex]35y^4 - 65x^3[/tex]inches.

Since regular pentagon we know that all sides are equal and there are totally five sides.

Perimeter of regular pentagon = 5*side

= 5a where a = length of side

Equate 5a to given perimeter to get

[tex]5a=35y^4 - 65x^3\\[/tex]

divide by 5

[tex]a=\frac{35y^4 - 65x^3}{5} \\=7y^4-13x^3[/tex]

Answer:

D. 7y^4 - 13x^3 inches

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