Question

the ratio of length and breadth of a rectangle is 3:2 respectively. the respective ratio of it's perimeter and area is 5:9. what is the breadth of the rectangle in metres?​

Answer 1

Answer:

The breadth of the rectangle is 6m.

Step-by-step explanation:

The ratio of Length and Breadth= 3:2

Let the length and breadth be 3x and 2x respectively

Perimeter of the rectangle= 2(3x + 2x) = 10x

Area of the rectangle= 3x * 2x = 6x^2

Now the ratio of perimeter and area is given as 5:9

So, we can form the equation as:

10x/6x^2 = 5/9

or, 5/3x = 5/9

or, x= 3

Hence, the breadth of the rectangle is 2x = 2*3 = 6m