Divided square

Find the total number of quadrilaterals in the given figure.


The answer is 187.

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1 solution

Ashish Menon
Apr 20, 2016

Just count we will get 64 64 quadrilaterals.
Two things have to be kept in mind. Look at the point of intersection of the diagnols of the big square. This point is also the geometric center of one small square (observe), if you adopt some method to count the total number of quadrilaterals, then this square would be counted twice. So, you have to subtract one from your answer. The secind point is that we should also count the biggest square in the process, this "quadrilateral" is sometimes not observed by the problem solvers.

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