If the length and breadth of a rectangle are doubled, how many times the perimeter of old rectangle will that of new rectangle?

Given:

The length and breadth of a rectangle are doubled.

To do:

We have to find how many times the perimeter of old rectangle will that of new rectangle.

Solution:

Let the length of the original rectangle be 'l' and breadth of the rectangle be 'b'.

Perimeter of old rectangle $= 2(l+b)$.

Length of the rectangle is doubled 

So, length of new rectangle $= 2l$

Breadth of the rectangle is doubled

So, breadth of new rectangle $= 2b$

Perimeter of new rectangle $= 2(2l+2b)=2[2(l+b)]$

Perimeter of new rectangle $= 2(Perimeter\ of\ original\ rectangle)$

Perimeter of new rectangle becomes 2 times the perimeter of the old rectangle. 

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Updated on: 10-Oct-2022

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