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Optimization question...

fallen_6666
in Analysis and Calculus

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Hey could someone please help me with this question?

the length of 3 sides of a trapezoid is 3 cm, Find the length of the 4th side if the area is maximized.

edit nm...

 

I took a pretty ridiculous derivative... but the answer 6?

 

what i did was express h in terms of x and then differentiated

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umm, could you please show me some of the steps, its just that im confused on how to get started.

[math] A = (b1+b2)/2*h = (3+3+2*b_2)/3*sqrt(9-x^2) [/math]

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