SOLUTION: The sum of the base and the height of a parallelogram is 24 in. Find the base and the height for which the area is a maximum.

Question 449981: The sum of the base and the height of a parallelogram is 24 in. Find the base and the height for which the area is a maximum.
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Let the base of parallelogram x inches, then the height will be 24-x inches, and
the area is , which represent a downward
parabola with vertex (12, 144), and the maximum area is 144 square inches.
If you have knowledges about derivatives, find the maximum value of the function
. Its derivative is -2x+24, and the maximum value
will be: -2x+24=0 for x=12.
Answer:The maximum area of the parallelogram will be, where the base and height are equal with 12 inches.
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