SOLUTION: A triangle has sides 3x +7, 4x -9, and 5x +6. Find the expression the represent its perimeter.

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Question 93839: A triangle has sides 3x +7, 4x -9, and 5x +6. Find the expression the represent its perimeter.
Found 2 solutions by checkley75, jim_thompson5910:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
3X+7+4X-9+5X+6
12X+4
4(3X+1)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given formula for finding the perimeter of a triangle

P=S%5B1%5D%2BS%5B2%5D%2BS%5B3%5D where P is the perimeter and the S terms are the side lengths


P=%283x+%2B7%29%2B%28+4x+-9%29%2B+%285x+%2B6%29 Plug in the given sides

P=3x%2B7%2B4x-9%2B5x%2B6 Remove the parenthesis

P=%283x%2B4x%2B5x%29%2B%287-9%2B6%29 Group like terms

P=12x%2B4 Combine like terms


So the expression that represents the perimeter is P=12x%2B4