The breadth of a rectangular floor is 3/5 of its length. If the area of the floor is 60 metre , then what is the difference between the length and breadth of the floor?

4 m

We know that,

Area of the rectangle = length × breadth

We have,

The breadth of a rectangular floor = \(\frac{3}{5}\) of its length.

Area of the floor of rectangular hall = 60 m²

Let length of hall = 5a

Breadth of hall = 5a × \(\frac{3}{5}\) = 3a

According to the question

3a ×  5a = 60

= 15a² = 60

= a² = 4

a = 2

Difference between length and breadth = 5a – 3a = 2a = 4 m