A room is half as long again as it is broad.
A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq. m is Rs. 270 and the cost of papering the four walls at Rs. 10 per m2 is Rs. 1420. If a door and 2 windows occupy 8 sq. m, find the height of the room.
Answer/Solution
5 m
Steps/Work
Explanation:
Let breadth = x m, length = 3x m, height = H metres.
Area of the floor = (Total cost of carpeting)/(Rate/m2)=(270/5)m2=54m2.
x× (3x/2) = 54 =>x2 = (54×2/3) = 36 <=> x = 6.
So, breadth = 6 m and length =(3/2)×6 = 9 m.
Now, papered area = (1420/10)m2 = 142 m2.
Area of 1 door and 2 windows = 8 m2.
Total area of 4 walls = (142 + 8) m2 = 150 m2
2×(9+ 6)× H = 150 <=> H = 150/30 = 5 m.
Answer: Option C
Let breadth = x m, length = 3x m, height = H metres.
Area of the floor = (Total cost of carpeting)/(Rate/m2)=(270/5)m2=54m2.
x× (3x/2) = 54 =>x2 = (54×2/3) = 36 <=> x = 6.
So, breadth = 6 m and length =(3/2)×6 = 9 m.
Now, papered area = (1420/10)m2 = 142 m2.
Area of 1 door and 2 windows = 8 m2.
Total area of 4 walls = (142 + 8) m2 = 150 m2
2×(9+ 6)× H = 150 <=> H = 150/30 = 5 m.
Answer: Option C