King Dashratha of Ayodhya had a rectangular plot of area `9792 m^(2) `. He divided it into 4 square shaped plots by fencing parallel fences to the breadth of the rectangular plot. All the four sons got each square shaped plot. However , same area of plot was still left which could not be formed as a square shaped. So, four more square shaped plots were formed by fencing parallel to the longer side of the original plot. The king gave one smaller square shaped plot to each of his wives and one of the smaller square shaped plot retained with himself and then nothing left to divide .
What is the ratio of the area of larger square shaped plot to the area of the smaller square shaped plot ?

Options

A. 17:1
B. 25:9
C. 16:1
D. can't be determined

Answer

D