Difference between revisions of "2016 AMC 10B Problems/Problem 14"
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| + | The vertical line is just to the right of x=5, the horizontal line is just under y=0, and the sloped line will always be above the y value of 3x. | ||
| + | This means they will always miss being on a coordinate with integer coordinates. After counting the number of 1x1, 2x2, 3x3, squares and getting 30, 15, and 5 respectively, and we end up with <math>\textbf{(D)}\ 50 \qquad</math> | ||
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| + | Solution by Wwang | ||
Revision as of 10:38, 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 
, the line 
and the line 
Solution
The vertical line is just to the right of x=5, the horizontal line is just under y=0, and the sloped line will always be above the y value of 3x.
This means they will always miss being on a coordinate with integer coordinates. After counting the number of 1x1, 2x2, 3x3, squares and getting 30, 15, and 5 respectively, and we end up with 
Solution by Wwang
