Explanation:
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Question
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The length of a room is
3
4
times its breadth. The total area of the four walls of this room is
15
28
times the area of the floor of the room. What is the ratio of the height of the room to the length of the room?
Medium
Solution
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Correct option is D)
Let breadth =x units
Then length =
3
4
x units
⇒ Area of floor = x×
3
4
x=
3
4
x
2
square units
Let the height of the room =y units. Then
Area of four walls = 2[xy+
3
4
xy]=
3
14
xy
Now,
3
14
xy=
15
28
(
3
4
x
2
)⇒xy=
15
2
×4x
2
y=
15
8
x ⇒
x
y
=
15
8
⇒ y:x=8:15