<PRE><B>Question 1048460</B>
Area of triangle(A) = (1/2) * base * height
:
A = (1/2) * (7-4x) * (2x) = 7x - 4x^2
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we want the first derivative, which is
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7 -8x
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set the first derivative = 0 and solve for x
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7 -8x = 0
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x = 7/8
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note that the equation for the Area is a parabola that curves downward,
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therefore the value of x is a maximum
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x = 7/8
:
max Area = 7(7/8) - 4(7/8)^2 = 392/64 - 196/64 = 196/64 = 49/16
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