SOLUTION: The perimeter of the following triangle is 35 meters. Find the length of each side. x meters, (2x+1) meters, (3x-2) meters

Algebra ->  Rectangles -> SOLUTION: The perimeter of the following triangle is 35 meters. Find the length of each side. x meters, (2x+1) meters, (3x-2) meters      Log On


   



Question 225311: The perimeter of the following triangle is 35 meters. Find the length of each side. x meters, (2x+1) meters, (3x-2) meters
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter is the sum of all the sides, so from the given information, we can set up the following equation:
x%2B%282x%2B1%29%2B%283x-2%29=35
We can remove the parentheses and combine like terms:
6x-1=35
Next, move the -1 over by adding it to both sides:
6x=36
Divide both sides by 6:
x=6
So, that is the length of one side. We have to plug x back into the length equations given for the other 2 sides to solve for them:
2%2A6%2B1=13
3%2A6-2=16
So, our answers are: 6, 13, 16.
...which when summed give us 35.