SOLUTION: Find a trimonial that represents the area of a paralleogram whose base is 3x+2 meters and whose height is 2x+3 meters.

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Question 118537: Find a trimonial that represents the area of a paralleogram whose base is 3x+2 meters and whose height is 2x+3 meters.
Found 2 solutions by scott8148, solver91311:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
area=base X height ___ a=(3x+2)(2x+3)

FOILing gives a=6x^2+13x+6

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a parallelogram is given by A%5BP%5D=B%2AH where B is the base and H is the height.

You are given that B=3x%2B2 and H=2x%2B3, so the area is A%5BP%5D=%283x%2B2%29%282x%2B3%29.

Use FOIL to multiply the two binomial expressions to get the desired trinomial:

First: 3x%2A2x=6x%5E2
Outside: 3x%2A3=9x
Inside: 2%2A2x=4x
Last: 2%2A3=6

Put it all together: 6x%5E2%2B9x%2B4x%2B6
Collect terms: 6x%5E2%2B13x%2B6

Hope that helps,
John