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Question

If small squares of side 3 cm are cut off from the corners of square of side 10 cm, what will be the change in perimeter (in cm)?


A

5
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B

10
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C

0
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D

1
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Solution

The correct option is C
0
Perimeter of the original square = 4 × 10 = 40 cm

When small squares of side 3 cm are cut off from the corners of the square, it loses two sides of length 3 cm and gains two sides of length 3 cm for each small square.



So, new perimeter = 40 - 3 - 3 + 3 + 3 - 3 - 3 + 3 + 3 - 3 - 3 + 3 + 3 - 3 - 3 + 3 + 3 = 40 cm
=> Change in perimeter = 40 - 40 = 0 cm

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