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Question

If we remove a square of side 2 cm from each corner of a square frame of side 8 cm, then the perimeter of the resulting shape is .

A
40 cm
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B
32 cm
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C
30 cm
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D
20 cm
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Solution

The correct option is B 32 cm
When a square of side 2 cm is cut out from every corner of a square frame of side 8 cm, we get the below given shape.


It has 4 edges of length 4 cm and 8 edges of length 2 cm.
New perimeter=4×(4 cm)+8×(2 cm)
=16 cm+16 cm
=32 cm

Note that the perimeter of the frame has not changed even when 4 small squares were cut out of it!

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