Question

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

Answer 1

Option (4) is correct.

The length of one side of the sandbox is
`7y^4-13x^3` inches.

Explanation:

Given : Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is
`35y^4-65x^3` inches.

We have to find the length of one side of the sandbox.

Since, given sandbox is in shape of a regular pentagon.

So, Perimeter of pentagon is 5 times sides.

Perimeter of pentagon = 5 × sides

Given Perimeter is
`35y^4-65x^3` inches.

Thus,
`35y^4-65x^3` = 5 × sides

Divide both side by 5, we get,

`7y^4-13x^3` = sides

Thus, The length of one side of the sandbox is
`7y^4-13x^3` inches.