What is the maximum area of the triangle. What value of x will produce that maximum area?

a triangle has a base of 2x+6 and a height of 2-x what is the max are of the triangle and the value of x that will produce the max area
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Area=(x+3)(2-x)=2x-x^2+6-3x=6-x-x^2=6-(x^2+x+1/4)+1/4=6.25-(x+0.5)^2.

The maximum value of this is 6.25 when x=-0.5. Any other value of x reduces 6.25.
by Top Rated User (1.2m points)

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