Question
Download Solution PDFThe cost of tiling the floor of a rectangular room is Rs. 9100 at Rs. 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 (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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
Formula used:
Area of the floor of a rectangular room = Total cost/cost per square metre
Area of rectangle = Length × Breadth
Perimeter of rectangle = 2(l + b)
Calculation:
Let the length and breadth of a rectangle be 7x and 5x respectively.
According to the question
Area of the floor of a rectangular room = Total cost/cost per square metre
⇒ (9100/65) m2
⇒ 140 m2
Area of rectangle roomed floor= (7x × 5x)
⇒ 35x2 = 140
⇒ x2 = (140/35)
⇒ x2 = 4
⇒ x = 2
Perimeter of rectangle roomed floor = 2(l + b)
⇒ 2(7 × 2 + 5 × 2)
⇒ 2(14 + 10)
⇒ 2 × 24
⇒ 48 m
∴ The perimeter of the floor of the room is 48 m
Last updated on Jul 10, 2025
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