Calculating the Area of a Single Room

Oct 13, 2025 by wbrum.org 56 views

Introduction

When it comes to calculating the total area of multiple rooms, it's essential to understand the formula for finding the area of a square room. The area of a square room is calculated by multiplying the length of one side by itself. In this article, we will explore how to calculate the total area of five square rooms with different side lengths.

Understanding the Problem

We have three square rooms with sides measuring 13 feet each and two square rooms with sides measuring 15 feet each. To find the total area of these five rooms, we need to calculate the area of each room individually and then add them together.

Calculating the Area of a Single Room

The area of a square room is calculated by multiplying the length of one side by itself. This can be expressed as:

Area = side × side

For example, if the side length of a room is 13 feet, the area of that room would be:

Area = 13 × 13 = 169 square feet

Calculating the Total Area of the Five Rooms

Now that we know how to calculate the area of a single room, let's calculate the total area of the five rooms. We have three rooms with sides measuring 13 feet each and two rooms with sides measuring 15 feet each.

Area of three 13-foot rooms = 3 × (13 × 13) Area of two 15-foot rooms = 2 × (15 × 15)

To find the total area of the five rooms, we need to add the area of the three 13-foot rooms and the area of the two 15-foot rooms.

Total Area = (3 × 13^2) + (2 × 15^2)

This expression shows the total area of the five rooms.

Why This Expression is Correct

This expression is correct because it takes into account the area of all five rooms. The first part of the expression, (3 × 13^2), calculates the area of the three 13-foot rooms, and the second part, (2 × 15^2), calculates the area of the two 15-foot rooms. By adding these two parts together, we get the total area of the five rooms.

Conclusion

In conclusion, the expression (3 × 13^2) + (2 × 15^2) shows the total area of the five rooms. This expression is correct because it takes into account the area of all five rooms and calculates the total area by adding the area of the three 13-foot rooms and the area of the two 15-foot rooms.

Final Answer

$The final answer is: $\boxed{(3 × 13^2) + (2 × 15^2)}$<br/> **Frequently Asked Questions (FAQs) About Calculating the Total Area of Five Square Rooms**$

Q: What is the formula for calculating the area of a square room?

A: The formula for calculating the area of a square room is Area = side × side. This means that you multiply the length of one side by itself to get the area of the room.

Q: How do I calculate the area of a room with a side length of 13 feet?

A: To calculate the area of a room with a side length of 13 feet, you would multiply 13 by itself: 13 × 13 = 169 square feet.

Q: How do I calculate the area of a room with a side length of 15 feet?

A: To calculate the area of a room with a side length of 15 feet, you would multiply 15 by itself: 15 × 15 = 225 square feet.

Q: What is the total area of the three 13-foot rooms?

A: To calculate the total area of the three 13-foot rooms, you would multiply the area of one room by 3: 3 × (13 × 13) = 3 × 169 = 507 square feet.

Q: What is the total area of the two 15-foot rooms?

A: To calculate the total area of the two 15-foot rooms, you would multiply the area of one room by 2: 2 × (15 × 15) = 2 × 225 = 450 square feet.

Q: What is the total area of the five rooms?

A: To calculate the total area of the five rooms, you would add the total area of the three 13-foot rooms and the total area of the two 15-foot rooms: (3 × 13^2) + (2 × 15^2) = 507 + 450 = 957 square feet.

Q: Why is the expression (3 × 13^2) + (2 × 15^2) correct?

A: The expression (3 × 13^2) + (2 × 15^2) is correct because it takes into account the area of all five rooms. The first part of the expression, (3 × 13^2), calculates the area of the three 13-foot rooms, and the second part, (2 × 15^2), calculates the area of the two 15-foot rooms. By adding these two parts together, we get the total area of the five rooms.

Q: What is the final answer to the problem?

A: The final answer to the problem is (3 × 13^2) + (2 × 15^2), which equals 957 square feet.

Conclusion

In conclusion, calculating the total area of five square rooms requires understanding the formula for calculating the area of a square room and applying it to each room individually. By adding the area of the three 13-foot rooms and the area of the two 15-foot rooms, we get the total area of the five rooms.