The area of 4 walls of a room is 114m^2. If the length of the room is 3 times is breath and the height is 3m, find the area of floor
Answers
Answered by
2
Answer:
67.6875 m²
Step-by-step explanation:
Let the length of the room = 3b
Hence, breadth = b
Lateral surface area = 114 m²
2h(3b + b) = 114
6(3b + b) = 114
24b = 114
b = 4.75 m
3b = 14.25 m
Area of the floor = l * b
= 4.75 * 14.25
= 67.6875 m²
vishaldhamo2017:
thank you
Answered by
4
SOLUTION___(◕ᴗ◕✿)
Given, area of room= 114m^2
length= 3x
breadth= x
height= 3m
Now,
lateral surface area of room=2h(l+b)
=114m^2= 2×3(3x+x)
=114m^2= 6× 4x
=4x= 114m^2/6m
=4x= 19m
=x= 19/4
x= 4.75m
So, length= 3x= 3×4.75= 14.25m
breadth=x= 4.75m
Area of floor= length×breadth
= (14.25×4.75)m^2
=67.68m^2 Ans.
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