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:
Answer & explanation
Correct answer: option 3
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