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Question
If the length and breadth of a rectangle are doubled, how many times the perimeter of the old rectangle will that of the new rectangle be?
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Solution
 |
 |
| Old rectangle | New rectangle |
Let l be the length of the old rectangle and b be the breadth.
∴ the old rectangle's perimeter = 2(l + b)
new rectangle length = 2l and breadth = 2b
∴ The new rectangle's perimeter = 2(2l + 2b)
= 2 × 2 (l + b)
= 2 × Perimeter of old rectangle
∴ The new rectangle's perimeter will be twice that of the old rectangle.
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