Question

A triangle has sides measuring 3x + 7, 4x - 9, and 5x + 6. Find the simplified expression that represents the perimeter.

Answer 1

Answer:
`12x+4`

Explanation:

We need to add all the sides of the triangle together in order to find the perimeter. The equation to find the perimeter of a triangle is:

`perimeter = side 1 + side 2 + side 3`

Since the question gives us the sides, let's plug it into the equation:

`perimeter = (3x+7) + (4x-9) + (5x+6)`

To simplify the equation, first, let's add the x variables together (remember that we can't add two different variables together, so we can't just add all the numbers together! we have to add the two different variables separately):

`3x + 4x + 5x = 12x`

Do the same to the other variable:

`7 + (-9) + 6 = 4`

Put the two variables together:

`12x+4`