Difference between revisions of "2018 AMC 8 Problems/Problem 4"
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==Solution 2== | ==Solution 2== | ||
| − | We count the half squares and count 8 of them, then count the middle 9 squares and you will count | + | We count the half squares and count 8 of them, then count the middle 9 squares and you will count 5 of them, thus, <math>8+5=\boxed{\textbf{(C) } 13}</math> |
==See Also== | ==See Also== | ||
Revision as of 12:04, 25 March 2020
Contents
Problem 4
The twelve-sided figure shown has been drawn on 
graph paper. What is the area of the figure in 
?
![[asy] unitsize(8mm); for (int i=0; i<7; ++i) { draw((i,0)--(i,7),gray); draw((0,i+1)--(7,i+1),gray); } draw((1,3)--(2,4)--(2,5)--(3,6)--(4,5)--(5,5)--(6,4)--(5,3)--(5,2)--(4,1)--(3,2)--(2,2)--cycle,black+2bp); [/asy]](http://latex.artofproblemsolving.com/f/4/d/f4d92072ddf7f5314e710dc9641eb84c3ea32879.png)
Solution
We count 
unit squares in the middle, and 
small triangles each with an area of 
. Thus, the answer is 
Solution 2
We count the half squares and count 8 of them, then count the middle 9 squares and you will count 5 of them, thus, 
See Also
| 2018 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 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 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
