Difference between revisions of "1987 AJHSME Problems/Problem 12"
5849206328x (talk | contribs) (New page: ==Problem== What fraction of the large <math>12</math> by <math>18</math> rectangular region is shaded? <asy> draw((0,0)--(18,0)--(18,12)--(0,12)--cycle); draw((0,6)--(18,6)); for(int a=...) |
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==Problem== | ==Problem== | ||
| − | What fraction of the large <math>12</math> by <math>18</math> rectangular region is shaded? | + | What [[fraction]] of the large <math>12</math> by <math>18</math> [[rectangle|rectangular]] region is shaded? |
<asy> | <asy> | ||
| Line 28: | Line 28: | ||
==See Also== | ==See Also== | ||
| − | [[ | + | {{AJHSME box|year=1987|num-b=11|num-a=13}} |
| + | [[Category:Introductory Geometry Problems]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 23:53, 4 July 2013
Problem
What fraction of the large 
by 
rectangular region is shaded?
![[asy] draw((0,0)--(18,0)--(18,12)--(0,12)--cycle); draw((0,6)--(18,6)); for(int a=6; a<12; ++a) { draw((1.5a,0)--(1.5a,6)); } fill((15,0)--(18,0)--(18,6)--(15,6)--cycle,black); label("0",(0,0),W); label("9",(9,0),S); label("18",(18,0),S); label("6",(0,6),W); label("12",(0,12),W); [/asy]](http://latex.artofproblemsolving.com/b/0/c/b0c6216f64369917ffe601761ed51640384663a4.png)
Solution
The shaded region makes up 
of the quarter rectangle. The quarter rectangle is then 
of the large rectangle, so the shaded region takes up 
of the large rectangle.
See Also
| 1987 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
