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?
A.4
B.6
C.8
D.10
E.12
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pemdas
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four squares in each quadrant is clear so far.
next, we need to set the side of square equal to 10 and assume this side as hypotenuse of right triangle where the non-hypotenuse sides will be integers; 100=10^2 and 100=36+64. So we have 6 and 8 on x and y coordinates additionally, which makes additional two squares in each quadrant.
4+4*2=12
e
next, we need to set the side of square equal to 10 and assume this side as hypotenuse of right triangle where the non-hypotenuse sides will be integers; 100=10^2 and 100=36+64. So we have 6 and 8 on x and y coordinates additionally, which makes additional two squares in each quadrant.
4+4*2=12
e
naveen451 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?
A.4
B.6
C.8
D.10
E.12
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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