# Maximum Area of a Rectangle if Fixed Perimeter

If a rectangle has a fixed perimeter, find for what dimensions the rectangle will have maximum area.

- Change the shape of the rectangle by moving the blue point.
- The red point in the first quadrant has an
-coordinate equal to the blue side of the rectangle and a -coordinate equal to the area of the rectangle. Observe the way the point is moving to find when the rectangle will have maximum area. - Enter the function that will describe the area as a function of the blue side (
) of the rectangle.

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