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» Home » Geometry »

Area of a Square

            A square is a quadrilateral whose four angles are all right angles and whose all sides are equal.



            Let  be a square with each side in length equal to and  is a diagonal which divides the square into two equal triangles,  and. Since,  is a right triangle.
therefore
           
         
Similarly,
           
           
           
                                                  
       
Example:
            A chess board contains equal squares and the area of each square is square cm. a border round the board is cm wide. Find the length of the side of chess board.
Solution:
            There are equal squares each of area square cm.
            Total area bounded by  squares  square cm
            One side of the square containing small squares cm
            Width of the border cm
            Length of side of chess board cm.



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