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

(Created page with "== Problem 29 == 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 con...")
 
Line 1: Line 1:
== Problem 29 ==
+
== 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]]
+
== See also ==
 +
{{AHSME box|year=1998|num-b=27|num-a=29}}

Revision as of 17:19, 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
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions
Invalid username
Login to AoPS