Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

How many rectangles are there in a CHESS BOARD??

Asked by Mahesh Padmanabh 24th January 2011, 8:59 PM
Answered by Expert
Answer:
Dear Student,
 
Observe that on an n-by-n chessboard, there are n + 1 vertical lines and n + 1 horizontal lines. These lines form the grid for the chessboard.

When we form a rectangle, we choose two of the vertical lines and two of the horizontal lines. (Notice that our choice of lines determines the size of the rectangle formed.)

So, the number of rectangles is given by the formula:
 


Hence, For a 8 by 8 chessboard, the number of rectangles is = 
 
Regards Topperlearning.
Answered by Expert 27th January 2011, 12:04 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp