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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 sq.m is Rs. 1720. If a door and 2 windows occupy 8 sq. m,
find the dimensions of the room.

A.b=6; l=18; H=6
B. b=5; l=6; H=18
C.l=6; b=18; H=15
D.l=5; b=18; H=18
Answer and Feedback
Answer:B
Feedback:Let breadth = x metres, length = 3x metres, height = H metres.
Area of the floor=(Total cost of carpeting)/(Rate) = (270/5) sq.m = 54 sq.m
x×3x2=54⇒x2=54×2⇒x=6
So, breadth = 6 m and length =3(6)/2 = 9 m.
Now, papered area = (1720/10) = 172 sq.m
Area of 1 door and 2 windows = 8 sq.m
Total area of 4 walls = (172 + 8) sq.m = 180 sq.m
2×(9+6)H=180⇒H=6

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