# Math Help - optimization problems #2

1. ## optimization problems #2

Question

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

2. Originally Posted by jddery
Question

Show that among all rectangles with an 8-m perimeter possible, the one with the largest area is a square.
Draw a diagram of the problem. Draw a rectangle with sides $x$ and $y$. The perimeter will always be $2y+2x=8$. The area is $A=xy$. 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.