Difference between revisions of "1999 AIME Problems/Problem 6"
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== Problem == | == Problem == | ||
| + | A transformation of the first quadrant of the coordinate plane maps each point <math>\displaystyle (x,y)</math> to the point <math>\displaystyle (\sqrt{x},\sqrt{y}).</math> The vertices of quadrilateral <math>\displaystyle ABCD</math> are <math>\displaystyle A=(900,300), B=(1800,600), C=(600,1800),</math> and <math>\displaystyle D=(300,900).</math> Let <math>\displaystyle k_{}</math> be the area of the region enclosed by the image of quadrilateral <math>\displaystyle ABCD.</math> Find the greatest integer that does not exceed <math>\displaystyle k_{}.</math> | ||
== Solution == | == Solution == | ||
== See also == | == See also == | ||
| + | * [[1999_AIME_Problems/Problem_5|Previous Problem]] | ||
| + | * [[1999_AIME_Problems/Problem_7|Next Problem]] | ||
* [[1999 AIME Problems]] | * [[1999 AIME Problems]] | ||
Revision as of 01:50, 22 January 2007
Problem
A transformation of the first quadrant of the coordinate plane maps each point 
to the point 
The vertices of quadrilateral 
are 
and 
Let 
be the area of the region enclosed by the image of quadrilateral 
Find the greatest integer that does not exceed 
