Question 449981
Let the base of parallelogram x inches, then the height will be 24-x inches, and

the area is {{{A=x(24-x)=-x^2+24x=-(x-12)^2+144}}}, 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

{{{A=-x^2+24x}}}. 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.