When the perimeter of an equilateral triangle is doubled, the result is 24. The length of a side of the original triangle is

A. 4

B. 6

C. 8

D. 12

Thanks. That helps.

To find the length of a side of the original equilateral triangle, let's set up an equation.

Let's denote the length of one side of the original equilateral triangle as "x".

The perimeter of an equilateral triangle is given by the formula: Perimeter = 3 * side length.

So, the perimeter of the original triangle is 3 * x.

According to the problem, when the perimeter of the original equilateral triangle is doubled, the result is 24.

So, 2 * (3 * x) = 24.

Simplifying the equation, we get: 6x = 24.

Now, let's solve for x by dividing both sides of the equation by 6: x = 24/6.

Simplifying further, x = 4.

Therefore, the length of a side of the original triangle is 4.

Answer: A. 4

When the perimeter of the triangle is doubled, it is 24. The perimeter before it is doubled is therefore half of 24=12.

An equilateral triangle is a triangle with three equal sides.

Perimeter = 12
Number of sides of an equilateral triangle = 3

Can you find the length of each side?