AoPSWiki
Support local problem solving programs by contributing to the Art of Problem Solving Foundation.
Click here for more information about the Foundation.

2000 AIME II Problems/Problem 6

From AoPSWiki

Problem

One base of a trapezoid is units longer than the other base. The segment that joins the midpoints of the legs divides the trapezoid into two regions whose areas are in the ratio . Let x be the length of the segment joining the legs of the trapezoid that is parallel to the bases and that divides the trapezoid into two regions of equal area. Find the greatest integer that does not exceed .

Solution

The answer is .

This solution is incomplete. You can help us out by completing it.

2000 AIME II (ProblemsResources)
Preceded by
Problem 5
Followed by
Problem 7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
NEW! NEW! NEW!
Want to learn how to tackle those tough AMC/AIME/Olympiad algebra problems? Check out Art of Problem Solving's NEW Intermediate Algebra by Richard Rusczyk and Mathew Crawford. Over 1600 problems!
© Copyright 2007 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us