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ajinkya bhole Grade: 10
        a parallelogram is cut by two sets of m parallel lines to its sides. find the no. of parallelograms formed.. 
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear ajinkya


parallelogram is cut by two sets of m parallel lines to its sides.


then we have  2 sets of (m+2) parallel lines ( 2 lines of the parallelogram)


so parallelogram is formed by taking 2 lines from each set


 = m+2C2 * m+2C2


 = [(m+2)(m+1)/2 ]2


 this also include 1 original parallelogram


 so total number of new parallelogram formed is  =   [(m+2)(m+1)/2 ]2   -1





    
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Badiuddin

7 years ago
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