Question:
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 are Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.
A ) 8 m
B ) 9 m
C ) 6 m
D ) 5 m
Answer: C) 6m
Explaination :
Let breadth = x metres,
length = 3x metres,
height = H metres.
Area of the floor=
(Total cost of carpeting)/(Rate/m2)
=(270/5)m2=54m2.
=>x* (3x/2) = 54
<=> x^2 = (54*2/3)
= 36 <=> x = 6.
So, breadth = 6 m and length =(3/2)*6 = 9 m.
Now, papered area = (1720/10)m2 = 172 m2.
Area of 1 door and 2 windows = 8 m2.
Total area of 4 walls = (172 + 8) m2 = 180 m2
2*(9+ 6)* H = 180 <=> H = 180/30 = 6 m.
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 are Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.
A ) 8 m
B ) 9 m
C ) 6 m
D ) 5 m
Answer: C) 6m
Explaination :
Let breadth = x metres,
length = 3x metres,
height = H metres.
Area of the floor=
(Total cost of carpeting)/(Rate/m2)
=(270/5)m2=54m2.
=>x* (3x/2) = 54
<=> x^2 = (54*2/3)
= 36 <=> x = 6.
So, breadth = 6 m and length =(3/2)*6 = 9 m.
Now, papered area = (1720/10)m2 = 172 m2.
Area of 1 door and 2 windows = 8 m2.
Total area of 4 walls = (172 + 8) m2 = 180 m2
2*(9+ 6)* H = 180 <=> H = 180/30 = 6 m.
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