SOLUTION: Area of a Parallelogram. Find the trinomial A(x) that represents the area, whose base is 3x + 2 meters and whose height is 2x + 3 meters. Find A(3). My answer: 3(3+2)2(3+3)

Algebra ->  Surface-area -> SOLUTION: Area of a Parallelogram. Find the trinomial A(x) that represents the area, whose base is 3x + 2 meters and whose height is 2x + 3 meters. Find A(3). My answer: 3(3+2)2(3+3)      Log On


   



Question 309894: Area of a Parallelogram. Find the trinomial A(x) that represents the area, whose base is 3x + 2 meters and whose height is 2x + 3 meters. Find A(3). My answer: 3(3+2)2(3+3)= (9+6)(6+6)=15*12=180 meters. Is this correct?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the trinomial, simply FOIL %283x+%2B+2%29%282x+%2B+3%29 to get

A%28x%29=%283x+%2B+2%29%282x+%2B+3%29=6x%5E2%2B9x%2B4x%2B6=6x%5E2%2B13x%2B6 which means that the trinomial is A%28x%29=6x%5E2%2B13x%2B6


Now plug in x=3 and evaluate:


A%28x%29=6x%5E2%2B13x%2B6


A%283%29=6%283%29%5E2%2B13%283%29%2B6


A%283%29=6%289%29%2B13%283%29%2B6


A%283%29=54%2B39%2B6


A%283%29=99


So the area is 99 square meters