The cost of tiling the floor of a rectangular room is ₹9100 at ₹65 per m². The ratio of the length and breadth of the floor is 7 : 5. The perimeter (in m) of the floor of the room is:

48

We know that,

Area of rectangle = Length × Breadth

Perimeter of rectangle = 2(l + b)

We have,

The cost of tiling the floor of a rectangular room = Rs. 9100 at Rs. 65 m²

The ratio of the length and breadth of rectangle = 7 : 5

Let the length and breadth of a rectangle be 7a and 5a respectively.

According to the question , Area of the floor of a rectangular room =

= \(\frac{9100}{65}\) m² = 140 m²

Area of rectangle floor= (7a × 5a)

= 35a² = 140

= a² = 4

= a = 2

Perimeter of rectangle roomed floor = 2(7 × 2 + 5 × 2)

= 2(14 + 10) = 2 × 24 = 48 m