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

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Question 162326This question is from textbook Elementary and Intermediate
: Area of a parallelogram.
Find a trinomial A(x) that represents the area of a parallelogram whose base is 3x+2 meters and whose height is 2x+3 meters. Find A(3) This question is from textbook Elementary and Intermediate

Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
area of a parallelogram is base * height.
base is 3*x + 2
height is 2*x + 3
a(x) equals base times height equals (3*x + 2) * (2*x + 3)
multiplying out you get a(x) equals 6%2Ax%5E2+%2B+13%2Ax+%2B+6
substituting 3 for x you get
a(3) equals 6*(3^2) + 13*(3) + 6 equals
6*9 + 39 + 6 equals
54 + 39 + 6 equals
a(3) = 99 square meters.
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substituting 3 in the original base * height equation, you get
(3*3 + 2) * (2*3 + 3)
equals
(11 meters) * (9 meters)
equals 99 square meters
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