A problem in Geometry
Geometry
Level
pending
A rectangular floor measuring 432 feet by 234 feet is tiled with one-foot square tiles. How many tiles would the diagonal of the rectangle cross?
Bonus : Derive a generalized formula to solve for any floor size.
The answer is 648.
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1 solution
Not sure how to derive the formula, but verified this working for smaller values of m and n .
m+n-g.c.d(m,n)
In this case, the answer will be 234+432-18 = 6 4 8