Q: 69 (IAS/2005)

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A big rectangular plot of area 4320 m^2 is divided in to 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to the longer side of the original plot such that no area of the plot was left surplus. What was the dimensions of the original plot?
question_subject: 
Maths
question_year: 
2005
question_exam: 
IAS
question_sub_subject: 
Mathematics
question_topic: 
Mathematics
stats: 
0,96,128,48,80,96,0