# 2009 AIME I Problems/Problem 4

Revision as of 18:30, 20 March 2009 by Ewcikewqikd (talk | contribs) (New page: == Problem 4 == In parallelogram <math>ABCD</math>, point <math>M</math> is on <math>\overline{AB}</math> so that <math>\frac {AM}{AB} = \frac {17}{1000}</math> and point <math>N</math> is...)

## Problem 4

In parallelogram , point is on so that and point is on so that . Let be the point of intersection of and . Find .

## Solution

One of the way to solve this problem is to make this parallelogram a straight line. So the whole length of the line is And will be So the answer is