Difference between revisions of "2006 UNCO Math Contest II Problems/Problem 1"
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==Solution== | ==Solution== | ||
| − | To solve this we start by breaking it up into it's four shaded areas. | + | To solve this we start by breaking it up into it's four shaded areas. Starting with the bottom right one, it splits four squares and hits the vertex on the last one, so we know that the total area of that region in two squares. |
==See Also== | ==See Also== | ||
Revision as of 14:58, 23 December 2014
Problem
If a dart is thrown at the 
target, what is the probability that it will hit the shaded area?
![[asy] filldraw((2,2)--(4,6)--(6,6)--(6,4)--cycle,blue); filldraw((2,2)--(6,2)--(6,1)--cycle,blue); filldraw((2,2)--(0,0)--(0,1)--cycle,blue); filldraw((2,2)--(0,4)--(0,6)--cycle,blue); for(int i=0;i<7;++i){ draw((0,i)--(6,i),black); draw((i,0)--(i,6),black); } dot((2,2));dot((0,4));dot((0,6));dot((4,6));dot((6,6)); dot((6,4));dot((6,2));dot((6,1));dot((0,0));dot((0,1)); [/asy]](http://latex.artofproblemsolving.com/d/f/1/df1c252b085c82d7d67511a0e58cc24d9595ae8a.png)
Solution
To solve this we start by breaking it up into it's four shaded areas. Starting with the bottom right one, it splits four squares and hits the vertex on the last one, so we know that the total area of that region in two squares.
See Also
| 2006 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by First Question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
