## The Triple Pyramid

A man named Chadwick wanted to build a square pyramid with three levels to house his wife and kids.

Chadwick wanted the ground floor to be 2000 square feet larger in area than the first floor, which would have 2000 square feet more than the second floor, where he figured to do some meditation and store a good deal of food for his wife Mabel.

Chadwick decided that the length of a slanting edge of the pyramid should be 1.5 times the height of the pyramid.

*Can you work out the respective lengths of the side of each floor?*

*What do you figure is the height of the pyramid?*