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Math Help - chessboard problem

  1. #1
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    chessboard problem

    in a chessboard how many rectangles are there whose area is equal to 3 times the area of a small square
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  2. #2
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    Quote Originally Posted by prasum View Post
    in a chessboard how many rectangles are there whose area is equal to 3 times the area of a small square
    The rectangles require 3 consecutive squares in a straight line.
    Each of the 8 rows contains 6 sets of 3 horizontally adjacent squares.
    That's 6 rectangles per row over 8 rows.
    The rectangles in the columns can be counted in the same way.
    There are no diagonal rectangles.
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  3. #3
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    Quote Originally Posted by Archie Meade View Post
    The rectangles require 3 consecutive squares in a straight line.
    Each of the 8 rows contains 6 sets of 3 horizontally adjacent squares.
    That's 6 rectangles per row over 8 rows.
    The rectangles in the columns can be counted in the same way.
    There are no diagonal rectangles.
    thanks
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