Answer :

i) How many small squares are there in each rectangle?


No. of small squares in


Rectangle 1 - 2


Rectangle 2 - 4


Rectangle 3 - 6


Rectangle 4 - 8


As is evident, it forms an AP with common difference = 4-2 =2


ii) How many large squares?


No. of large squares in


Rectangle 1 - 0


Rectangle 2 - 1 (intersection of all 4 small squares)


Rectangle 3 - 2 (2 same size overlapping squares as in rectangle 2)


Rectangle 4 - 3


As is evident, it forms an AP with common difference = 1-0 =1


iii) How many squares in all?


All squares = small squares + large squares


No. of all squares in


Rectangle 1 - 2 + 0 = 2


Rectangle 2 - 4 + 1 = 5


Rectangle 3 - 6 + 2 = 8


Rectangle 4 - 8 + 3 = 11


As is evident, it forms an AP with common difference = 2+1 = 3


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