MathDB
Transformation

Source:

December 18, 2005
analytic geometrygeometryAMCAIMEfloor functionInversion

Problem Statement

A transformation of the first quadrant of the coordinate plane maps each point (x,y)(x,y) to the point (x,y).(\sqrt{x},\sqrt{y}). The vertices of quadrilateral ABCDABCD are A=(900,300),B=(1800,600),C=(600,1800),A=(900,300), B=(1800,600), C=(600,1800), and D=(300,900).D=(300,900). Let kk be the area of the region enclosed by the image of quadrilateral ABCD.ABCD. Find the greatest integer that does not exceed k.k.
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