There is a pentagon ABCDE such that angles A, C, and E are all right angles and it is concave at angle C.

If a ray starting at D was aimed at C, it would go exactly 1 inch before going through C, and would eventually go through A.

If BC and AE are both 5 inches, what is the area of this pentagon?

I have a drawing here for everyone's use, especially my own.

A___________E   <A, <C, and <E are all right angles.
|           |   A, C, and D are colinear.
|           |   CD=1, BC=AE=5
|     C_    |   What is the area?
|    /  \_  |
|   /     \_|
|  /        D
| /
|/
B

Now I hope that turns out right.

Posted by Tristan on 2004-06-12 12:33:16