A room 8 m long. 6 m wide and 4 m high has two windows ench 1.5 m x 1 m and two
doors each 2.2 mx 1.2 m. Find the cost of whitewashing the walls at 3 per sq. metre.
Answers
Answer:
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Step-by-step explanation:
Given:
A room is 8.5 m long 6.5 m broad and 3.4 m high it has two doors each measuring 1.5 m by 1 m and two windows each measuring 2 m by 1 m .
To Find:
Find the cost of painting its four walls at rupees 160 per metre².
Solution:
Room walls
Length of room = 8.5 m
Breadth of room = 6.5 m
Height of room = 3.4 m
We know the formula of surface area of four walls of room:
Surface area of four walls = 2 (Length + breadth)×Height
Surface area of four walls = 2 (8.5 + 6.5)×3.4 = 102 m²
Doors
Length of door = 1.5 m
Breadth of door = 1 m
Shape of door is in rectangle, we know the formula of area of rectangle:
Area of rectangle = Length × breadth
Means:
Area of each door = Length × breadth
Area of each door = 1.5 × 1 = 1.5 m²
So area of two doors will be:
Area of both door = 1.5 × 2 = 3.0 m²
Windows
Length of window = 2.0 m
Breadth of window = 1 m
Shape of window is in rectangle, we know the formula of area of rectangle:
Area of rectangle = Length × breadth
Means:
Area of each window = Length × breadth
Area of each window = 2.0 × 1 = 2.0 m²
So area of two window will be:
Area of both window = 2.0 × 2 = 4.0 m
Now net area of wall will become:
Net area of wall=Area of four walls-Area of door -Area of window
Net area of wall = 102 - 3.0 - 4.0 = 95 m²
Cost of painting
Cost of painting will be:
Cost = Price rate× Area
Cost = 160× 95
Cost = 15200 Rs.
Means the cost of painting its four walls is 15200 Rupees.
Answer:
area of walls to be whitewashed = area of walls − area of doors and Windows
=2h(l+b)−2×2.5−1.5×2
264−5−3
=256m
2
cost of whitewash =256×3.2
=819.2rs