14 X 14 squares will make howmany rectangles

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anand

  • Nov 18th, 2006
 

 14x14 sqr's makes 14 rect's b'cos 2 sqr's makes one rect.

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ravi

  • Dec 11th, 2006
 

14 x 14 squares will make 210 rectangles.(198+12)

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Maharaja

  • Jan 30th, 2007
 

We can't answer this question as the length and breadth of the rectangle was not mentioned. Rectangles of different length and breadth can be formed out of the square and without the specifications about the length and breadth solution is not possible.

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asish

  • Feb 19th, 2007
 

the total number of rectangles will be 14^3+13^3+12^3+..............+3^3+2^3+1^3

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wipro_written

  • Jun 5th, 2008
 

for a 14x14 squares there will be 15 horizontal lines and 15 vertical lines.

inorder to form a quadrilateral we require 2 horizontal n 2 vertical lines.

no of quardilaterals = 15C2 * 15c2                       ---> 1
no of squares formed  = (n(n+1)(2n+1))/6            ---> 2


no of rectangles = eqn1 - eqn2

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sowji_111

  • Jun 21st, 2008
 

Total squares 14*14=196.
we can make one rectangle by mixing 2 squares.
Therefore 196/2=98 rectangles

Therefore 14 *14 squares can make 98 rectangles.

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gayatriapti

  • Jun 23rd, 2009
 

Total no of squares= n(n+1)(2n+1)/6=14(15)(29)/6=1015.......
Total no of rectangles=n(n+1)/2^2=11025
Total no of rectangles which are not squares- 11025-1015=10010

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