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Patterns in Whole Numbers

If you cut a ...

Question

If you cut a 1 cm square to get shape C, what will be the length of the boundary of C?

A

12 cm

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B

14 cm

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C

15 cm

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D

16 cm

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Solution

The correct option is B 14 cm
A square of 1 cm side has been cut out from the given square A. So the dimensions of the resulting shape C will be as follows.

From the image you can see:
Perimeter of shape C = 1 cm + 1 cm + 1 cm +1 cm + 1 cm + 3 cm + 3 cm + 3 cm = 14 cm

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