If the length of a rectangle is tripled and its breadth is doubled, what will happen to the area of this rectangle? Find the ratio of the area of the resultant to the area of the original rectangle.

Given:

The length of a rectangle is tripled and its breadth is doubled

To do:

We have to find the ratio of the area of the resultant to the area of the original rectangle.

Solution:

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

Area of original rectangle = l $\times$ b =  lb

Length of a rectangle is tripled 

So, Length of new rectangle = 3l

Breadth is doubled

So, breadth of new rectangle = 2b

Area of new rectangle = 3l $\times$ 2b

Area of  new rectangle =  6lb =6(Area of original rectangle)

Area of new rectangle becomes 6 times the area of the original rectangle.

Ratio of areas of new rectangle to original rectangle =  6lb : lb = 6 : 1.

Ratio of areas of new rectangle to original rectangle is 6 : 1.

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Updated on: 10-Oct-2022

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