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Question

If the length and breadth of a rectangle are doubled, then its perimeter ____.

A
becomes 4 times
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B
becomes half
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C
doubles
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D
triples
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Solution

The correct option is C doubles
We know that
Perimeter of a rectangle, P=2(l+b)
where l and b are the length and breadth of the rectangle respectively.

Now, the length and breadth are doubled.

The new length and breadth of the rectangle is,
l=2l; b=2b

Perimeter of the new rectangle,
P=2(l+b)
P=2(2l+2b) =2×2(l+b) =2P

Therefore, the new perimeter is double the original one.

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