MathDB
Find length and breadth

Source: INMO 1999 Problem 2

October 7, 2005
rectanglenumber theoryindia

Problem Statement

In a village 19981998 persons volunteered to clean up, for a fair, a rectangular field with integer sides and perimeter equla to 39963996 feet. For this purpose, the field was divided into 19981998 equal parts. If each part had an integer area, find the length and breadth of the field.