There are two square rooms. Both are of same height. The second room is 5m longer than the first room. The rate for papering the walls is 10 paisa per square meter. The total cost for papering the rooms is Rs 60 and Rs 80. What is the height of the rooms?

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priya

  • Aug 4th, 2005
 

The height is 20m

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Anvar

  • Dec 11th, 2005
 

Height is 4

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visitor

  • Jan 1st, 2006
 

First room cost equation : 4 X h X len X 0.1 = 60Second room cost equation : 4 X h X (len +5) X 0.1 = 80Solving the above , we get height = 10

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Visitor

  • Aug 29th, 2007
 

Why have you used 4 in ans : 4 * h * l * 0.1

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Sana

  • Aug 31st, 2007
 

A house will have four walls...
papers used only for construction of walls!!!!

1st House: 4 *a (side) *h (height) * 10 = 60   =======>     4ah=6 --(1)

Given 10 paise reqd...per construction of 1 square meters


2nd House: 4*(a+5) (side)*h (height) * 10 = 80 =======> 4ah + 20h=8---(2)

Area formula will be horizontal side*vertical height
the plane of wall will be along it's height!..

Solving (1) & (2) we get 20h=2.
Hence, h=0.1m

abhydaya

  • Jul 2nd, 2010
 

Let height of room 1 nd 2 be h1 nd h2
     we know h1=h2                                                        (given)
length of rooms be l1 nd l2
     also l2=l1+5                                                              (given)
area of 4 walls of 1st room a1=4*l1*h1
area of 4 walls of 2nd room a2=4*l2*h2
                                                 =4*(l1+5)*h1
cost for papering 1st room = a1*0.1 rs=4*l1*h1*0.1=rs 60                            ........1
cost for papering 2nd room = a2*0.1 rs=4*(l1+5)*h1*0.1=rs 80                   ........2
performing (eq1)/(eq2)

we get
         l1/(l1+5)=60/80
=>    l1=15m

substituting in eq1
       4*15*h1*0.1=60
=> h1=1/0.1
=>h1=10m

Ans:   h1=h2=10m

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ips302

  • Jul 5th, 2010
 

The height of both rooms are same.

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