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Question

A square is cut out from one corner of a rectangular piece of paper as shown. If the perimeter of the rectangular paper was 18 cm, what is the new perimeter(in cm) of the figure?

A
27
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B
18
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C
9
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D
36
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Solution

The correct option is B 18
Intial perimeter of the rectangle -
= length + breadth + length + breadth
= 2 x length + 2 x breadth

Final perimeter of the figure -

= length + breadth + length + breadth
= 2 x length + 2 x breadth

So, we see that the initial and final perimeter of the figure are the same.
Therefore, new perimeter = 18 cm.

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