Thethe permiter of an equilateral triangle is given as 50 next + 30 right to different expressions to represent the perimeter use factoring to write one of the Express

To solve this problem, let's first recall the formula for the perimeter of an equilateral triangle. In an equilateral triangle, all sides are equal in length. Let's denote the length of one side as "x".

The formula for the perimeter P of an equilateral triangle with side length x is given by:
P = 3x

Now, we are given that the perimeter is equal to 50 + 30. To write this expression using factoring, we can rewrite 50 + 30 as:
P = 80

Next, we can use factoring to write the expression. In this case, we want to find a common factor that can be factored out from both 3x and 80.

Let's find the greatest common factor (GCF) of 3x and 80. The prime factorization of 3x is simply 3 * x, and the prime factorization of 80 is 2 * 2 * 2 * 2 * 5.

From the prime factorization, we can see that the GCF of 3x and 80 is 1, since there are no common factors other than 1.

So, factoring out the GCF from both terms, we can write the expression as:
P = 1 * (3x + 80)

Thus, one expression using factoring to represent the perimeter of the equilateral triangle is:
P = 3x + 80