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Square

by piyush_nitt » Fri Feb 13, 2009 8:34 pm
A certain square is to be drawn on a coordinate plane. One of the vertices must be on the origin, and the square is to have an area of 100. If all coordinates of the vertices must be integers, how many different ways can this square be drawn?
4
6
8
10
12
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by Bidisha800 » Fri Feb 13, 2009 11:22 pm
getting 10
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Re: Square

by billzhao » Sat Feb 14, 2009 1:13 am
piyush_nitt wrote:A certain square is to be drawn on a coordinate plane. One of the vertices must be on the origin, and the square is to have an area of 100. If all coordinates of the vertices must be integers, how many different ways can this square be drawn?
4
6
8
10
12
My answer is 4. Because there are only four vertices of a square and there are only four possible ways of drawing a square with side = 10.

If the question asks about a rectangular, then the answer will be 16.
Yiliang
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