Question

a rectangle are in the ratio 1 ratio 2 if the length is increased by 2 cm and the breadth by 3 cm then the ratio of the perimeter of the new rectangle to the perimeter of the original rectangle is 4 by 3 find the dimensions of the original​

Answer 1

Answer:

Given, the length and breadth of a rectangle are in the ratio 3:2 respectively.

Then let the length and breadth of the rectangle be 3x,2x respectively.

If the sides of the rectangle are extended on each side by 1 m then length and breadth will be 3x+1 m and 2x+1 m.

According to the problem,

2x+1

3x+1

​  

=  

7

10

​  

 

or, 20x+10=21x+7

or, x=3.

So length and breadth are 9,6 m respectively.

Now area of the rectangle be 9×6=54 m  

2

.