1987 AJHSME Problems/Problem 12
Revision as of 08:36, 16 February 2009 by 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=...)
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.
