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Question

If the area of the largest square is 64 cm2, the side length (in cm) of the smallest square will be:

A
2
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B
22
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C
42
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D
4
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Solution

The correct option is D 4
Given, area of the largest square, i.e. of S1 = 64 cm2
Side of square S1 = area = 64 = 8 cm

Side of the square S1 = Diameter of the circle C1 = Diagonal of the square S2 = 8 cm
In the square S2,
diagonal2 = side2 + side2
82 = 2 side2
side2=32
side=32=42
Side of the square S2=42 cm

Side of the square S2 = Diameter of the circle C2 = Diagonal of the square S3 = 42 cm
In the square S3,
diagonal2 = side2 + side2
(42)2 = 2 side2
side2=16
side=16=4
Side of the square S3=4 cm

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