Leelanand Kumar
Leelanand Kumar
10 years ago

If perimeter of a rectangle increases by 30%, what will be the effect on its area?

Solution(By Examveda Team)

The Formula of Perimeter of Rectangle  = 2 * (A +B)
And Formula for Area = AB
When the perimeter of a rectangle increase by 30%, it means there must be 30% increament in its length and 30% increment in its breadth.
As 30% increment happen in length and breadth of rectangle, then there will be (X +Y - (XY/100) ) where X and Y is increment .
So, total increment in area = (30+30 + (30*30)/100) = 69%

We can also calculate it through graphic change method:
100 == 30% up in length => 130 == 30% up in breadth ==> 169.
100 become 169 means increamnet of 69%.

 

 


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Comments ( 2 )

  1. Kumar Nayan
    Kumar Nayan :
    8 years ago

    area will be increased by 69%.

  2. Tejaswini
    Tejaswini :
    8 years ago

    Perimeter of rectangle = 2*(A+B)
    Area = AB
    Total increment in area = (30+30+(30*30)/100) = 69%
    Area will be increased by 69%

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