SOLUTION: Q) A triangle has sides (3x+7),(4x-9), and (5x-6). Find the polynomial that represents its perimeter.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Q) A triangle has sides (3x+7),(4x-9), and (5x-6). Find the polynomial that represents its perimeter.      Log On


   

Question 82708: Q) A triangle has sides (3x+7),(4x-9), and (5x-6). Find the polynomial that represents its perimeter.
Found 2 solutions by jim_thompson5910, neil_m:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter is the sum of all sides, in other words the perimeter (p) equals

p=side1%2Bside2%2Bside3
where side1=3x+7, side2=4x-9, and side3=5x-6

so it becomes

p=%283x%2B7%29%2B%284x-9%29%2B%285x-6%29 plug in the given information

p=%283x%2B4x%2B5x%29%2B%287-9-6%29 Group like terms

p=%2812x%29%2B%28-8%29 Combine like terms

So the perimeter is

p=12x-8




Answer by neil_m(2) About Me  (Show Source):
You can put this solution on YOUR website!
A) This problem can be solved by adding together the sides of the triangle and collecting the coefficients of x.
The perimeter (P) of a triangle is equal to the sum of its three sides, in this case:
P = (3x+7) + (4x-9) + (5x-6)
If we group together the coefficients (numbers multiplied by x) and constants, we can condense the expression into a single polynomial:
P = (3+4+5)x+(7-9-6)
= 12x-8