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# An equilateral triangle has a perimeter of 15x^{3} + 33x^{5} feet. What is the length of each side?

**Solution:**

Given, the perimeter of an equilateral triangle = 15x^{3} + 33x^{5} feet

We have to find the length of each side of an equilateral triangle.

An equilateral triangle is a triangle in which all the three sides are equal and all three interior angles are equal and each equal to 60°.

Perimeter = 3(length of side of triangle)

So, the length of the side of the triangle = perimeter / 3

Length of each side = 15x^{3} + 33x^{5} / 3

Taking out 3 common from numerator, we get,

15x^{3} + 33x^{5} = 3(5x^{3} + 11x^{5})

Now, length of each side = 3(5x^{3} + 11x^{5}) / 3

= (5x^{3} + 11x^{5})

Therefore, the length of each side of an equilateral triangle is 5x^{3} + 11x^{5}.

## An equilateral triangle has a perimeter of 15x^{3} + 33x^{5} feet. What is the length of each side?

**Summary:**

An equilateral triangle has a perimeter of 15x^{3} + 33x^{5} feet. The length of each side is 5x^{3} + 11x^{5}.

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