Calculating the Area of Each Component

Oct 13, 2025 by talynt.org 123 views

Understanding the Problem

The given figure consists of a combination of rectangles and a square, with dimensions provided in centimeters. To find the area of the entire figure, we need to calculate the area of each individual component and then sum them up.

Calculating the Area of Each Component

Rectangle 1

Length (L) = 6 cm
Width (W) = 4 cm
Area (A) = L × W = 6 cm × 4 cm = 24 cm²

Rectangle 2

Length (L) = 3 cm
Width (W) = 4 cm
Area (A) = L × W = 3 cm × 4 cm = 12 cm²

Rectangle 3

Length (L) = 2 cm
Width (W) = 4 cm
Area (A) = L × W = 2 cm × 4 cm = 8 cm²

Square

Side (S) = 2 cm
Area (A) = S² = 2 cm × 2 cm = 4 cm²

Finding the Total Area

To find the total area of the figure, we need to add up the areas of all the individual components.

Total Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3 + Area of Square Total Area = 24 cm² + 12 cm² + 8 cm² + 4 cm² Total Area = 48 cm²

Conclusion

The total area of the given figure is 48 square centimeters.

Additional Information

The figure can be visualized as a combination of rectangles and a square, with dimensions provided in centimeters.
The area of each individual component is calculated using the formula: Area = Length × Width (for rectangles) and Area = Side² (for squares).
The total area of the figure is found by adding up the areas of all the individual components.

Final Answer

The final answer is 48.

Frequently Asked Questions

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

A: The formula to calculate the area of a rectangle is: Area = Length × Width.

Q: What is the formula to calculate the area of a square?

A: The formula to calculate the area of a square is: Area = Side².

Q: How do I find the total area of a figure with multiple components?

A: To find the total area of a figure with multiple components, you need to add up the areas of all the individual components.

Q: What is the total area of the given figure?

A: The total area of the given figure is 48 square centimeters.

Q: Can I use decimals to represent the area of the figure?

A: Yes, you can use decimals to represent the area of the figure. For example, the total area of 48 square centimeters can also be represented as 48.00 square centimeters.

Q: How do I visualize the given figure?

A: The given figure can be visualized as a combination of rectangles and a square, with dimensions provided in centimeters.

Q: What are the dimensions of the individual components of the figure?

A: The dimensions of the individual components of the figure are:

Rectangle 1: Length = 6 cm, Width = 4 cm
Rectangle 2: Length = 3 cm, Width = 4 cm
Rectangle 3: Length = 2 cm, Width = 4 cm
Square: Side = 2 cm

Q: How do I calculate the area of each individual component?

A: To calculate the area of each individual component, you need to use the formula: Area = Length × Width (for rectangles) and Area = Side² (for squares).

Q: What is the significance of finding the total area of the figure?

A: Finding the total area of the figure is important in various real-world applications, such as architecture, engineering, and design.

Q: Can I use the same formula to calculate the area of different shapes?

A: Yes, you can use the same formula to calculate the area of different shapes, such as rectangles, squares, triangles, and circles.

Conclusion

The area of a figure is an important concept in mathematics and has various real-world applications. By understanding the formulas and techniques for calculating the area of different shapes, you can solve problems and make informed decisions in various fields.

Additional Resources

For more information on calculating the area of different shapes, visit our website or consult a mathematics textbook.
Practice calculating the area of different shapes using online tools and resources.
Apply the concepts of area to real-world problems and scenarios.

Final Answer

The final answer is 48.