{"status": "success", "data": {"description_md": "A transformation of the first quadrant of the coordinate plane maps each point $(x,y)$ to the point $(\\sqrt{x},\\sqrt{y}).$ The vertices of quadrilateral $ABCD$ are $A=(900,300), B=(1800,600), C=(600,1800),$ and $D=(300,900).$ Let $k$ be the area of the region enclosed by the image of quadrilateral $ABCD.$ Find the greatest integer that does not exceed $k.$\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "

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

Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "1999 AIME Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/99_aime_p07", "prev": "/problem/99_aime_p05"}}