1987 AJHSME Problems/Problem 12: Difference between revisions
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> | ||
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==See Also== | ==See Also== | ||
[[ | {{AJHSME box|year=1987|num-b=11|num-a=13}} | ||
[[Category:Introductory Geometry Problems]] | |||
Revision as of 15:01, 29 May 2009
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 | ||
