Calculating the Area of Each Wall

Oct 13, 2025 by wbrum.org 34 views

Finding the Area of Four Walls of a Room and Calculating the Cost of Whitewashing

In this article, we will learn how to find the area of the four walls of a room and calculate the cost of whitewashing them. We will use the dimensions of the room, which are length = 8 m, breadth = 6 m, and height = 5 m. We will ignore doors, windows, and other openings.

To find the area of the four walls of a room, we need to calculate the area of each wall separately and then add them together. The formula to find the area of a rectangle is length × breadth.

Calculating the Area of Each Wall

Let's calculate the area of each wall:

Lengthwise Walls

The lengthwise walls have a length of 8 m and a height of 5 m. The area of each lengthwise wall is:

length = 8 m
height = 5 m
area_lengthwise_wall = length × height
print(area_lengthwise_wall)

The area of each lengthwise wall is 40 sq. m.

Breadthwise Walls

The breadthwise walls have a breadth of 6 m and a height of 5 m. The area of each breadthwise wall is:

breadth = 6 m
height = 5 m
area_breadthwise_wall = breadth × height
print(area_breadthwise_wall)

The area of each breadthwise wall is 30 sq. m.

Total Area of Four Walls

The total area of four walls is the sum of the areas of all four walls:

total_area_four_walls = 2 × (area_lengthwise_wall + area_breadthwise_wall)
print(total_area_four_walls)

The total area of four walls is 200 sq. m.

Calculating the Cost of Whitewashing

The cost of whitewashing the walls is 7 per sq. m. To find the total cost, we multiply the total area of four walls by the cost per sq. m:

cost_per_sq_m = 7
total_cost = total_area_four_walls × cost_per_sq_m
print(total_cost)

The total cost of whitewashing the walls is 1400.

In this article, we learned how to find the area of the four walls of a room and calculate the cost of whitewashing them. We used the dimensions of the room, which are length = 8 m, breadth = 6 m, and height = 5 m. We ignored doors, windows, and other openings. We calculated the area of each wall separately and then added them together to find the total area of four walls. We then multiplied the total area by the cost per sq. m to find the total cost of whitewashing the walls.

This problem can be used in real-life scenarios where we need to find the area of the four walls of a room and calculate the cost of whitewashing them. For example, if you are a contractor, you can use this problem to estimate the cost of whitewashing the walls of a room for a client.

Here is a step-by-step solution to this problem:

Calculate the area of each lengthwise wall by multiplying the length and height.
Calculate the area of each breadthwise wall by multiplying the breadth and height.
Add the areas of all four walls to find the total area of four walls.
Multiply the total area of four walls by the cost per sq. m to find the total cost of whitewashing the walls.

Here are the mathematical formulas used in this problem:

Area of a rectangle = length × breadth
Total area of four walls = 2 × (area_lengthwise_wall + area_breadthwise_wall)
Total cost = total_area_four_walls × cost_per_sq_m

Here is the code implementation of this problem in Python:

# Define the dimensions of the room
length = 8
breadth = 6
height = 5
area_lengthwise_wall = length × height
area_breadthwise_wall = breadth × height
total_area_four_walls = 2 × (area_lengthwise_wall + area_breadthwise_wall)
cost_per_sq_m = 7
total_cost = total_area_four_walls × cost_per_sq_m
print("The total area of four walls is:", total_area_four_walls, "sq. m")
print("The total cost of whitewashing the walls is:", total_cost)

In our previous article, we learned how to find the area of the four walls of a room and calculate the cost of whitewashing them. In this article, we will answer some frequently asked questions related to this topic.

Q: What is the formula to find the area of a rectangle?

A: The formula to find the area of a rectangle is length × breadth.

Q: How do I calculate the area of each lengthwise wall?

A: To calculate the area of each lengthwise wall, you need to multiply the length and height of the wall.

Q: How do I calculate the area of each breadthwise wall?

A: To calculate the area of each breadthwise wall, you need to multiply the breadth and height of the wall.

Q: What is the total area of four walls?

A: The total area of four walls is the sum of the areas of all four walls.

Q: How do I calculate the total cost of whitewashing the walls?

A: To calculate the total cost of whitewashing the walls, you need to multiply the total area of four walls by the cost per sq. m.

Q: What is the cost per sq. m of whitewashing the walls?

A: The cost per sq. m of whitewashing the walls is 7.

Q: How do I find the total area of four walls if the length, breadth, and height of the room are given?

A: To find the total area of four walls, you need to calculate the area of each lengthwise wall and each breadthwise wall separately and then add them together.

Q: What is the formula to find the total area of four walls?

A: The formula to find the total area of four walls is 2 × (area_lengthwise_wall + area_breadthwise_wall).

Q: How do I calculate the total cost of whitewashing the walls if the total area of four walls and the cost per sq. m are given?

A: To calculate the total cost of whitewashing the walls, you need to multiply the total area of four walls by the cost per sq. m.

Q: What is the total cost of whitewashing the walls if the total area of four walls is 200 sq. m and the cost per sq. m is 7?

A: The total cost of whitewashing the walls is 1400.

Q: Can I use this formula to find the area of four walls of a room with different dimensions?

A: Yes, you can use this formula to find the area of four walls of a room with different dimensions.

Q: What are the assumptions made in this problem?

A: The assumptions made in this problem are that the room has four walls, the length, breadth, and height of the room are given, and the cost per sq. m of whitewashing the walls is 7.

Q: Can I use this problem in real-life scenarios?

A: Yes, you can use this problem in real-life scenarios where you need to find the area of four walls of a room and calculate the cost of whitewashing them.

In this article, we answered some frequently asked questions related to finding the area of four walls of a room and calculating the cost of whitewashing them. We provided step-by-step solutions to these questions and explained the mathematical formulas used in this problem.

This problem can be used in real-life scenarios where you need to find the area of four walls of a room and calculate the cost of whitewashing them. For example, if you are a contractor, you can use this problem to estimate the cost of whitewashing the walls of a room for a client.

Here is a step-by-step solution to this problem:

Calculate the area of each lengthwise wall by multiplying the length and height.
Calculate the area of each breadthwise wall by multiplying the breadth and height.
Add the areas of all four walls to find the total area of four walls.
Multiply the total area of four walls by the cost per sq. m to find the total cost of whitewashing the walls.

Here are the mathematical formulas used in this problem:

Area of a rectangle = length × breadth
Total area of four walls = 2 × (area_lengthwise_wall + area_breadthwise_wall)
Total cost = total_area_four_walls × cost_per_sq_m

Here is the code implementation of this problem in Python:

# Define the dimensions of the room
length = 8
breadth = 6
height = 5
area_lengthwise_wall = length × height
area_breadthwise_wall = breadth × height
total_area_four_walls = 2 × (area_lengthwise_wall + area_breadthwise_wall)
cost_per_sq_m = 7
total_cost = total_area_four_walls × cost_per_sq_m
print("The total area of four walls is:", total_area_four_walls, "sq. m")
print("The total cost of whitewashing the walls is:", total_cost)