The height of a room is 40% of its semi - perimeter. It costs 260 rupees to paper the walls of the room with paper 50 cm wide at 2 rupees per metre allowing an area of 15 m^2 for doors and windows. The height of the room is ? Plz don't copy.
Answers
Answer:
Here is your answer
Step-by-step explanation:
Let the length, breadth and height of the room be l,b and h, respectively .
Then, h=0.4(l+b)
Area of four walls =2(l+b)h
=2(l+b)×0.4(l+b)
=0.8(l+b)
2
∴ Area which is papered =0.8(l+b)
2
−15
Area of paper = Area of wall
⇒ Length =
0.5
0.8(l+b)
2
−15
...(∵Width=50cm=0.5m)
Given, Rs.
0.5
(0.8(l+b)
2
−15)
×2=Rs260
⇒0.8(l+b)
2
−15=
2
260×0.5
⇒0.8(l+b)
2
−15=65
⇒0.8(l+b)
2
=65+15=80
⇒(l+b)
2
=
0.8
80
=100
⇒l+b=10
∴h=0.4×10=4m
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Answer:
Let the length, breadth and height of the room be l, b and h respectively. Then, h = 0.4(l + b)
Area of four walls = 2(l + b)h
= 2(l + b) × 0.4(l + b)
= 0.8(l + b)^2
Therefore area which is prepared
= 0.8(l + b)^2 – 15
Now, area of paper = Area of wall
=> Length × breadth
= 0.8(l + b)^2 – 15
=> Length
Given,
Therefore h = 0.4 × 10 = 4 m.