If the sides of a parallelogram are increased to twice its original lengths, how much will the perimeter of the new parallelogram be?

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1.5 times

2 times

3 times

4 times

answer is B.

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Detailed Solution

Given, the sides of a parallelogram are increased to twice its original lengths.
The perimeter of a parallelogram is twice the sum of its length and width.
Let us assume the original length and breadth of the given parallelogram as l and b respectively.
So, the perimeter of the original parallelogram will be,

= 2 l + b

Next, when the side lengths are made twice their lengths, then the new dimensions of the parallelogram will be,

l ⇒ 2 l b ⇒ 2 b

Then, the new perimeter of the parallelogram will be,

= 2 2 l + 2 b = 2 × 2 l + b

So, if we compare the original and the new perimeters of the parallelogram, we can say that the new perimeter is twice the original perimeter.
Hence, the correct option is (2).

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