Question

An equilateral triangle has a perimeter of 9x^2 + 27x units. Write an expression that represents the perimeter in terms of each side length in units.

Answer 1

To express the perimeter of an equilateral triangle in terms of each side length, divide the given expression by 3.

Step-by-step explanation:

The perimeter of an equilateral triangle is the total length around the triangle. Since all sides of an equilateral triangle are equal, the perimeter is the sum of the lengths of all three sides.

In this case, the given expression 9x^2 + 27x represents the perimeter of the triangle. To express the perimeter in terms of each side length, we divide the perimeter by 3, since there are 3 sides.

So, the expression that represents the perimeter in terms of each side length is (9x^2 + 27x)/3.