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Question

4 squares each of side 1 cm are cut out from a square of side 4 cm. The length of the boundary of the resulting shape is ___.

A
9 cm
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B
12 cm
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C
16 cm
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D
20 cm
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Solution

The correct option is C 16 cm

When four squares of side 1 cm each are cut out from a square of side 4 cm, we obtain the shape as in the above image.

The length of the boundary of the resulting shape is
2 cm+2 cm+2 cm+2 cm+1 cm+1 cm+1 cm+1 cm+1 cm+1 cm+1 cm+1 cm=16 cm.

Note that the perimeter of the larger square too is 16 cm.

(16 cm=4×a=4×(4 cm))

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