Maximum Area of Rectangle (with a given perimeter)
This applet allows students to explore the concept of area of a rectangle given a constant perimeter. This can be used to introduce the concept of maximum and minimum areas of a rectangle.
- Analyze the shape and classify the quadrilateral based on its properties. - Review the formula for area of a rectangle, determine how to apply it in this situation, and check it the calculations made are correct. - Manipulate the quadrilateral and create a statement about the area as the side lengths change. When is the area the greatest? When is the area the least? - Change the perimeter of the quadrilateral. How does this change the total area? Is this generalization true for all perimeters? What about all rectangles? How do we know this?