Question: What is the largest the area of a rectangle

can be if its perimeter is 20?

Here is an example of a rectangle with a perimeter of 20.

Is it the one with the largest area?

To discover the answer follow these steps:

1. Go to http://www.mste.uiuc.edu/users/carvell/rectperim/RectPerim14by18.html.

2. Make the rectangle below using the applet.

3. Check the box next to Set Perimenter

4. Fill in the table below with different values for area, width and length.

(the first one is done for you.)

Perimeter | Area |
Width |
Length |

20 |
24 |
6 |
4 |

20 |
|||

20 |
|||

20 |
|||

20 |

Why do you think that is?

6. More Challenging Question: What is the largest the perimeter of a rectangle can be if its area is 10?

See teacher page for answer. http://www.mste.uiuc.edu/users/carvell/rectperim/RectPerim2.html