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Question

A square of boundary 64 cm is given to us. If we remove a square of side 2 cm from one corner of the bigger square, the length of the new boundary ___.

A
increases
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B
decreases
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C
remains the same
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D
cannot be determined
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Solution

The correct option is C remains the sameGiven that the boundary of a square is 64 cm. ∴ The side of the square is 644 cm=16 cm long. Now, a square of side 2 cm is cut out from a corner of this larger square. ∴ The newly obtained figure has a boundary of length 16 cm+16 cm+14 cm+14 cm+2 cm+2 cm=64 cm, which is equal to the boundary of the larger square.

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