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| Math Central | Quandaries & Queries |
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Nivra: I wondered how to find the wall length of an octagon shaped house from the square footage (1250 sq.ft.). |
Hi Nivra,
Assuming it is a regular octagon with interior angles of 135o each, the area of an octagon is
A=2(1+√2)t2 where t is the length of a edge (or side) of an octagon. The formula can be manipulated to solve for t:
A/[2(1+√2)]=t2
√(A/[2(1+√2)])=t
Hope this helps,
Janice
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