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Question

How many squares are there in the adjacent figure?
338145_29d8c0c4a7214ff3aa5802277e86f245.png

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Solution

First, label the diagram as A, B, C, D, ... X as shown in the figure.There are five squares in the top strip ofthe figure, namely ABHG, BCIH, CDlI, DEKJ and EFLK.Similarly, there are five squares in each of the middle and bottom strips.So, there are 15 squares if a single strip is considered at a time.Now, consider two strips at a time. There are eight squares (ACOM, BDPN, CEQO, DFRP in thestrip AFRM and GlUS, HJVT, IKWU, lLXV in the strip GLXS).Finally, consider all the three strips together. There are three squares ADVS, BEWT and CFXU.Thus, the total number of squares = 15 + 8 + 3 = 26

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