Question 225311
Perimeter is the sum of all the sides, so from the given information, we can set up the following equation:
{{{x+(2x+1)+(3x-2)=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*6+1=13}}}
{{{3*6-2=16}}}
So, our answers are: 6, 13, 16.
...which when summed give us 35.