8. The length of a room is thrice of its breadth. The cost of flooring the surface at 25 paise per sq. m. is Rs 75. Find the length and breadth of the room.
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Answer:
Length = 30m
Breadth = 10m
Step-by-step explanation:
Let the breadth of the room be b .
So , length of the room = 3b
So , area of the room = 3b²
Total cost of flooring = ₹75
Cost of flooring a sq. m = 25p = ₹0.25
So , size of the floor = 75/0.25 = 300m²
3b² = 300m²
⟹ b² = 300m²/3
⟹ b² = 100m²
⟹ √b² = √100m²
⟹ b = 10m
∴ Breadth of the room is 10m , while length is 30m .
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