# Difference between revisions of "2009 AIME I Problems/Problem 4"

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− | One of the | + | One of the ways to solve this problem is to make this parallelogram a straight line. |

So the whole length of the line<math>(AP)</math> is <math>1000+2009=3009units</math> | So the whole length of the line<math>(AP)</math> is <math>1000+2009=3009units</math> |

## Revision as of 19:58, 20 March 2009

## 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 ways 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