Difference between revisions of "2016 AMC 10B Problems/Problem 14"

(Created page with "==Problem== How many squares whose sides are parallel to the axes and whose vertices have coordinates that are integers lie entirely within the region bounded by the line <ma...")
 
(Problem)
Line 8: Line 8:
 
\textbf{(D)}\ 50 \qquad
 
\textbf{(D)}\ 50 \qquad
 
\textbf{(E)}\ 57</math>
 
\textbf{(E)}\ 57</math>
 +
 +
 +
==Solution==

Revision as of 11:29, 21 February 2016

Problem

How many squares whose sides are parallel to the axes and whose vertices have coordinates that are integers lie entirely within the region bounded by the line $y=\pi x$, the line $y=-0.1$ and the line $x=5.1?$

$\textbf{(A)}\ 30 \qquad \textbf{(B)}\ 41 \qquad \textbf{(C)}\ 45 \qquad \textbf{(D)}\ 50 \qquad \textbf{(E)}\ 57$


Solution