SOLUTION: Find 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 183734: Find 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).
Answer by math_il(6) About Me  (Show Source):
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Area of a parallelogram = base * height
A(x) = (3x+2) * (2x+3)
expand the factors by multiplication
A(x) = 6 x^2 + 4x + 9x + 6
adding the coefficients of x terms
A(x) = 6 x^2 + 13x + 6 This is the trinomial that represents the area of the parallelogram.
A(3) is obtained by substituting x=3 in the trinomial.
A(3) = 6 * 3*3 + 13*3 +6 = 6*9 + 39 +6 = 54 + 39 +6 = 99.