Quandaries
and Queries |
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Name: AJ thanks, |
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Hi AJ, Imagine that you cut you octagon into 9 pieces as in the diagram.
You get a 10 foot by 10 foot square in the middle, 4 rectangles and 4 isosceles, right angles triangles. The key is to find the length x in the diagram. The square has area 100 square feet. Each triangle has hypotenuse of length 10 feet and two other sides of length x feet. Thus, by Pythagoras theorem
Thus
Hence each rectangle has area 10 5 √2 square feet. Each triangle has area Thus the area is
I get 482.8 square feet. Penny |