Question

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

पर्याय

• 1.5 times

• 2 times

• 3 times

• 4 times

Answer 1

2 times

Explanation:

Let the length and breadth of the parallelogram be l and b, respectively.

Then, perimeter = 2(1 + b)  ...[∵ Perimeter of parallelogram = 2 × (length + breadth)]

If both sides are increased twice, then new length and breadth will be 21 and 2b, respectively.

Now, new perimeter = 2(21 + 2b) = 2 × 2(l + b) = 2 times of original perimeter.

Hence, the perimeter of parallelogram will be increased 2 times.