Difference between revisions of "1987 AJHSME Problems/Problem 12"
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{{AJHSME box|year=1987|num-b=11|num-a=13}} | {{AJHSME box|year=1987|num-b=11|num-a=13}} | ||
[[Category:Introductory Geometry Problems]] | [[Category:Introductory Geometry Problems]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 22:53, 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
