Math Word Problem for Class Five

Oct 13, 2025 by recoveryshake.com 53 views

$Math Word Problem for Class Five$

In which of these rooms will a carpet of length 75m and breadth 30m fit exactly?

Math Word Problem for Class Five

Introduction

Math word problems are an essential part of learning mathematics. They help students understand the practical application of mathematical concepts and develop problem-solving skills. In this article, we will solve a word problem that involves finding the area of a room to determine which room can fit a carpet of a specific length and breadth.

The Problem

A carpet of length 75m and breadth 30m needs to be placed in one of the three rooms. The dimensions of the rooms are given below:

Room A: Length (L) = 60m, Breadth (B) = 35m
Room B: Length (L) = 90m, Breadth (B) = 25m
Room C: Length (L) = 80m, Breadth (B) = 45m

Step 1: Understand the Problem

To determine which room can fit the carpet, we need to find the area of each room and compare it with the area of the carpet.

Step 2: Find the Area of the Carpet

The area of the carpet can be found by multiplying its length and breadth.

Area of carpet = Length x Breadth = 75m x 30m = 2250m²

Step 3: Find the Area of Each Room

To find the area of each room, we need to multiply its length and breadth.

Room A

Area of Room A = Length x Breadth = 60m x 35m = 2100m²

Room B

Area of Room B = Length x Breadth = 90m x 25m = 2250m²

Room C

Area of Room C = Length x Breadth = 80m x 45m = 3600m²

Step 4: Compare the Areas

Now that we have found the area of each room, we can compare it with the area of the carpet.

Room A has an area of 2100m², which is less than the area of the carpet (2250m²).
Room B has an area of 2250m², which is equal to the area of the carpet.
Room C has an area of 3600m², which is greater than the area of the carpet.

Conclusion

Based on the calculations, we can conclude that the carpet of length 75m and breadth 30m will fit exactly in Room B, which has an area of 2250m².

Key Takeaways

To solve this problem, we need to find the area of each room and compare it with the area of the carpet.
The area of a room can be found by multiplying its length and breadth.
The carpet will fit exactly in the room with an area equal to the area of the carpet.

Mathematical Concepts

Area of a rectangle = Length x Breadth
Comparison of areas to determine which room can fit the carpet.

Real-World Application

This problem can be applied to real-world scenarios where we need to determine which room can fit a piece of furniture or a carpet of a specific size.

Tips for Students

Always read the problem carefully and understand what is being asked.
Break down the problem into smaller steps and solve each step separately.
Use mathematical concepts and formulas to solve the problem.
Compare the areas of each room to determine which room can fit the carpet.
Frequently Asked Questions (FAQs) - In which of these rooms will a carpet of length 75m and breadth 30m fit exactly?

Q: What is the main objective of this problem?

A: The main objective of this problem is to determine which room can fit a carpet of length 75m and breadth 30m.

Q: What are the dimensions of the three rooms?

A: The dimensions of the three rooms are:

Room A: Length (L) = 60m, Breadth (B) = 35m
Room B: Length (L) = 90m, Breadth (B) = 25m
Room C: Length (L) = 80m, Breadth (B) = 45m

Q: How do we find the area of each room?

A: To find the area of each room, we multiply its length and breadth.

Q: What is the area of the carpet?

A: The area of the carpet is 2250m², which is found by multiplying its length (75m) and breadth (30m).

Q: Which room has an area equal to the area of the carpet?

A: Room B has an area equal to the area of the carpet, which is 2250m².

Q: Why is it important to compare the areas of each room?

A: It is essential to compare the areas of each room to determine which room can fit the carpet. This helps us to identify the room that has enough space to accommodate the carpet.

Q: What mathematical concept is used to solve this problem?

A: The mathematical concept used to solve this problem is the area of a rectangle, which is found by multiplying its length and breadth.

Q: Can this problem be applied to real-world scenarios?

A: Yes, this problem can be applied to real-world scenarios where we need to determine which room can fit a piece of furniture or a carpet of a specific size.

Q: What are some tips for students to solve this problem?

A: Some tips for students to solve this problem include:

Always read the problem carefully and understand what is being asked.
Break down the problem into smaller steps and solve each step separately.
Use mathematical concepts and formulas to solve the problem.
Compare the areas of each room to determine which room can fit the carpet.

Q: What is the final answer to this problem?

A: The final answer to this problem is that the carpet of length 75m and breadth 30m will fit exactly in Room B, which has an area of 2250m².

Conclusion

In this article, we have provided a step-by-step solution to the problem "In which of these rooms will a carpet of length 75m and breadth 30m fit exactly?" We have also answered some frequently asked questions related to this problem. We hope that this article has helped students to understand the concept of area and how to apply it to real-world scenarios.