Question

A triangle has three side lengths. write a simplified expression for the perimeter (add all the sides) if the three sides are: (x+4), 2(x-1), and (3x+6).

Answer 1

6x + 8 or 2(3x + 4)

Step-by-step explanation

We are given that the three sides of the triangle are (x+ 4), 2(x - 1) and (3x + 6).

The perimeter of any shape is gotten by adding the lengths of all its sides together.

Therefore, the perimeter of the triangle is:

(x + 4) + 2(x - 1) + (3x + 6)

= x + 4 + 2x - 2 + 3x + 6

Collect like terms:

x + 2x + 3x + 4 - 2 + 6

= 6x + 8

= 2(3x + 4)

That is the expression for the perimeter of the triangle.