SOLUTION: 98). 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 189513: 98). 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).
Answer by feliz1965(151) (Show Source): You can put this solution on YOUR website!
The area of a parallelogram is A = base times height.
We are given the base to be 3x + 2 and the height to be 2x + 3.
We use the function notation A(x) to replace the letter A as used in the area of a parallelogram formula above.
A(x) = (3x + 2)(2x + 3)
We need to find A(3).
Do you see number 3 INSIDE the parentheses for A(3)?
This means to replace EVERY X you see in the function above and simplify.
A(3) = 3(3) + 2 times 2(3) + 3
A(3) = 9 + 2 times 6 + 3
A(3) = 11 times 9
A(3) = 99
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