A Norman window has the shape of a rectangle surmounted by a semicircle. The perimeter is 26.000 ft. Order the widths listed below according to the area of the corresponding Norman window from the lowest area (1) to highest area (5).

You will need to enter the numbers 1 through 5 in the entry blanks below.


1. Width = 6.200 ft.
2. Width = 4.000 ft.
3. Width = 7.400 ft.
4. Width = 8.400 ft.
5. Width = 6.000 ft.

Remark: To be able to order the sizes of the windows you are going to have to calculate the area for all five windows from knowing their widths. Since there are several calculations it will save time to figure out and simplify a formula which calculates the area from the width and the perimeter.

You can earn partial credit on this problem.