<PRE><B>Question 815263</B>
A triangle has a height of 2x and a base of 7-4x

What is the maximum area of the triangle?
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Area = b*h/2
= 14x - 8x^2
dA/dx = 14 - 16x = 0
x = 7/8 units
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max Area = (7 - 7/2)*(7/4)/2
max Area = 49/16 sq units
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