Difference between revisions of "1998 AHSME Problems/Problem 29"

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== Problem 29 ==
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== Problem==
 
A point <math>(x,y)</math> in the plane is called a lattice point if both <math>x</math> and <math>y</math> are integers. The area of the largest square that contains exactly three lattice points in its interior is closest to
 
A point <math>(x,y)</math> in the plane is called a lattice point if both <math>x</math> and <math>y</math> are integers. The area of the largest square that contains exactly three lattice points in its interior is closest to
  
 
<math> \mathrm{(A) \ } 4.0 \qquad \mathrm{(B) \ } 4.2 \qquad \mathrm{(C) \ } 4.5 \qquad \mathrm{(D) \ } 5.0 \qquad \mathrm{(E) \ }  5.6</math>
 
<math> \mathrm{(A) \ } 4.0 \qquad \mathrm{(B) \ } 4.2 \qquad \mathrm{(C) \ } 4.5 \qquad \mathrm{(D) \ } 5.0 \qquad \mathrm{(E) \ }  5.6</math>
  
[[1998 AHSME Problems/Problem 29|Solution]]
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== See also ==
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{{AHSME box|year=1998|num-b=27|num-a=29}}

Revision as of 16:19, 8 August 2011

Problem

A point $(x,y)$ in the plane is called a lattice point if both $x$ and $y$ are integers. The area of the largest square that contains exactly three lattice points in its interior is closest to

$\mathrm{(A) \ } 4.0 \qquad \mathrm{(B) \ } 4.2 \qquad \mathrm{(C) \ } 4.5 \qquad \mathrm{(D) \ } 5.0 \qquad \mathrm{(E) \ }  5.6$

See also

1998 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 27
Followed by
Problem 29
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All AHSME Problems and Solutions