cost of papering the four walls of a room is rs 480. each one of the length breadth and height of another room is double that of this room. what is the cost of papering the walls of the new room.
Answers
Given:
The cost of papering the four walls of a room is rs 480.
Each one of the length breadth and height of another room is double that of this room.
To find:
What is the cost of papering the walls of the new room?
Solution:
Let's assume,
"l" → represents the length of the room
"b" → represents the breadth of the room
"h" → represents the height of the room
∴ The area of 4 walls of the room = 2h × [l + b] square unit
The cost of papering these 4 walls of the room = Rs. 480
Now,
The dimensions of the new room:
Length = 2l
Breadth = 2b
Height = 2h
∴ The area of 4 walls of the new room is,
= 2 × 2h × [2l + 2b]
= 2 × 2h × 2 × [l + b]
= 4 × [2h(l + b)] square units
If the cost of papering 2h × [l + b] square units = Rs. 480
Then,
The required cost of papering 4 × [2h × (l + b)] square units will be,
= 4 × 480
= Rs. 1920
Thus, the cost of papering the walls of the new room is → Rs. 1920.
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