Question

Show that among all rectangles with an 8-m perimeter possible, the one with the largest area is a square.

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- Nov 11th 2009, 08:38 AMjdderyoptimization problems #2
Question

Show that among all rectangles with an 8-m perimeter possible, the one with the largest area is a square. - Nov 11th 2009, 09:00 AMadkinsjr
Draw a diagram of the problem. Draw a rectangle with sides $\displaystyle x$ and $\displaystyle y$. The perimeter will always be $\displaystyle 2y+2x=8$. The area is $\displaystyle A=xy$. Can you see what you need to do now?

That's the best approach to solving optimization problems. Draw a diagram.

If you are still lost on how to solve it, I'll help you. But see if you can proceed from here.