Three square with the same center and corresponding parallel sides are drawn. The distance between the the sides of successive square is $3$ and the side length of the largest square is $22$ , as shown. what is the perimeter of the smallest square ?

40

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100

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10

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64

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20

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Solution

The correct option is B $100$
Given AB $= 22$
distance between two successive squares length of $G H = 22 - 6 = 16$
length of kL $= 16 - 6 = 10$
perimeter of sq IJKL $= 4 (10) = 40$ .

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