Question

A room is 16m long, 9m wide and 3m ig, it has two doors each door of dimensions 2m*1.5m and three windows each of dimension 1.6m*75cm find the cost of distempering the walls of the room from the inside at the rate of rs.50per square metre

Answer 1

l= 16m
b=9m
h=3m
TSA=2(lb+bh+lh)
2(144+27+48)
438m²

area of 3 windows=1.6×0.75×3
=3.660m²

area of 2 doors=2×1.5×2
=6m²

total area of room excluding doors and wall = 438-(6+3.660)
428.34m²

cost of distempering /m²=₹50
428.34×50
₹21417

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Answer 2

Cost of distempering the walls is Rs.7020

Step-by-step explanation:

Given:-A room of,

Length=16 m, Width=9 m, Height=3 m.

2 Doors of,

Length=2 m, Height=1.5 m.

3 Windows of,

Length=1.65 m,

Height=75 cm = 0.75 m.

Per square metre Cost of distempering the wall=Rs.50

To find:-Cost of distempering  the walls at Rs.50 per square metre.

Solution:-

Area of 1 Door = $2\times 1.5$ =  $3$         ------(Given)

Area of 1 Door = 3 square metre.   ------------------(equation 1)

Area of 2 Doors = $2\times$ Area of 1 Door

Area of 2 Doors = $2\times 3$ = 6    -----------(from equation 1)

Area of 2 Doors = 6 square metre.  -------(equation 2)

Area of 1 window = $1.6\times 0.75=1.2$

Area of 1 window = 1.2 square metre.  ---------(equation 3)

Area of 3 Windows =Area of 1 window $\times$ 2

Area of 3 Windows =$1.2\times 3$           --------------(from equation 3)

Area of 3 Windows = 3.6 square metre.  ------(equation 4)

Total area of walls $=(2\times length\times height)+(2\times width\times height)$

Total area of walls $=(2\times 16\times 3)+(2\times 9\times 3)$    -------(given)

Total area of walls $=96+54$

Total area of walls = 150 square metre.   ---------(equation 5)

Now,

Total Area to be distempered = Total area of wall - total area of 2 doors - total area of 3 windows

Total Area to be distempered = 150-6-3.6   ----(from equation 2,4,5)

Total Area to be distempered = 150-9.6

Total Area to be distempered = 140.4 square metre  -------------(equation 6)

Cost of distempering the walls = Total area to be distempered $\times$ Per square metre cost of distempering the walls

Cost of distempering the walls$=140.4\times 50$

Cost of distempering the walls = Rs.7020

Therefore, Cost of distempering the walls is Rs.7020.