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Question
If the sides of a parallelogram are increased to twice its original lengths, how much will the perimeter of the new parallelogram?
Options
1.5 times
2 times
3 times
4 times
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Solution
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.
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