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The area of four walls of a room is 150 m2 .if the length of the room i is twice its breadth and the height is 4 m,find the area of the floor
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The area of four walls of a room is 150 m2 .if the length of the room ...
Area of four walls 120 m2.
i.e. 2(l+b)h=120 m2
where l=length b=breadth h=height
given, l=2b
h=4m
therefore, 2(l+b)h=120
or, 2(2b+b)4=120
or, 24b=120
or, b=5m
l=2x5=10m
and, area of floor=10x5=50 m2(ans)
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The area of four walls of a room is 150 m2 .if the length of the room ...
Problem:
The area of four walls of a room is 150 m2. If the length of the room is twice its breadth and the height is 4 m, find the area of the floor.
Solution:
Let's solve the problem step by step:
Step 1: Identify the given information
- The area of four walls of the room is 150 m2.
- The length of the room is twice its breadth.
- The height of the room is 4 m.
Step 2: Find the dimensions of the room
Let the breadth of the room be 'b'.
Since the length of the room is twice its breadth, the length would be '2b'.
Step 3: Calculate the area of the four walls
The area of the four walls can be calculated by finding the perimeter of the room multiplied by the height.
The perimeter of the room is the sum of all four sides, i.e., twice the sum of length and breadth.
The area of the four walls is given as 150 m2.
So, 2(2b + b) * 4 = 150
Simplifying, we get 12b = 150
Dividing both sides by 12, we get b = 12.5
Therefore, the breadth of the room is 12.5 m and the length is 2 * 12.5 = 25 m.
Step 4: Calculate the area of the floor
The area of the floor can be calculated by multiplying the length and breadth of the room.
Area of the floor = Length * Breadth
Area of the floor = 25 * 12.5
Area of the floor = 312.5 m2
Therefore, the area of the floor is 312.5 m2.
Answer:
The area of the floor is 312.5 m2.
The area of four walls of a room is 150 m2. If the length of the room is twice its breadth and the height is 4 m, find the area of the floor.
Solution:
Let's solve the problem step by step:
Step 1: Identify the given information
- The area of four walls of the room is 150 m2.
- The length of the room is twice its breadth.
- The height of the room is 4 m.
Step 2: Find the dimensions of the room
Let the breadth of the room be 'b'.
Since the length of the room is twice its breadth, the length would be '2b'.
Step 3: Calculate the area of the four walls
The area of the four walls can be calculated by finding the perimeter of the room multiplied by the height.
The perimeter of the room is the sum of all four sides, i.e., twice the sum of length and breadth.
The area of the four walls is given as 150 m2.
So, 2(2b + b) * 4 = 150
Simplifying, we get 12b = 150
Dividing both sides by 12, we get b = 12.5
Therefore, the breadth of the room is 12.5 m and the length is 2 * 12.5 = 25 m.
Step 4: Calculate the area of the floor
The area of the floor can be calculated by multiplying the length and breadth of the room.
Area of the floor = Length * Breadth
Area of the floor = 25 * 12.5
Area of the floor = 312.5 m2
Therefore, the area of the floor is 312.5 m2.
Answer:
The area of the floor is 312.5 m2.
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The area of four walls of a room is 150 m2 .if the length of the room i is twice its breadth and the height is 4 m,find the area of the floor Related: NCERT Solutions Chapter 11 (Part - 1) - Perimeter and Area, Maths, Class 7 for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The area of four walls of a room is 150 m2 .if the length of the room i is twice its breadth and the height is 4 m,find the area of the floor Related: NCERT Solutions Chapter 11 (Part - 1) - Perimeter and Area, Maths, Class 7 covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of four walls of a room is 150 m2 .if the length of the room i is twice its breadth and the height is 4 m,find the area of the floor Related: NCERT Solutions Chapter 11 (Part - 1) - Perimeter and Area, Maths, Class 7.
The area of four walls of a room is 150 m2 .if the length of the room i is twice its breadth and the height is 4 m,find the area of the floor Related: NCERT Solutions Chapter 11 (Part - 1) - Perimeter and Area, Maths, Class 7 for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The area of four walls of a room is 150 m2 .if the length of the room i is twice its breadth and the height is 4 m,find the area of the floor Related: NCERT Solutions Chapter 11 (Part - 1) - Perimeter and Area, Maths, Class 7 covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of four walls of a room is 150 m2 .if the length of the room i is twice its breadth and the height is 4 m,find the area of the floor Related: NCERT Solutions Chapter 11 (Part - 1) - Perimeter and Area, Maths, Class 7.
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