The area of four walls of a room is 150 m2 if the length of the room is twice it's breadth and the height is 4 m, find the area
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Answer:
81.25 sq. metre
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Answer :
- Area of floor is 78.125m²
Given :
- The area of four walls of room is 150m²
- if the length of the room is twice its breadth
- height is 4m
To find :
- Area
Solution :
- Let the length of the room be 2x
- Let the breadth of the room be x
As we know that :
- Area of 4 four walls = h(2l + 2b)
where , h is 4m , length is 2x , breadth is x and area of four walls is 150m²
↝ Area of 4 four walls = h(2l + 2b)
↝ Area of 4 walls = h(2 × 2x + 2 × x)
↝ 150 = 4(4x + 2x)
↝ 150 = 4 × 6x
↝ 150 = 24x
↝ x = 150/24
↝ x = 6.25m
Hence , x is 6.25m
Now we have to find the Area of floor
As we know that :
- Area of floor = l × b
↝ Area of Floor = length × breadth
↝ Area of floor = 2x × x
↝ Area of floor = 2 × 6.25 × 6.25
↝ Areq of floor = 78.125 m²
Hence , Area of floor is 78.125 m²
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