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Lesson 9 3 Area Of Composite Figures Answer Key Pdf

Composite Figures

Introduction

Are you struggling with finding the area of composite figures? Composite figures are two or more shapes that are combined to form a single shape. Calculating the area of composite figures may seem challenging, but it doesn't have to be. In this article, we will provide you with a detailed lesson 9 3 area of composite figures answer key pdf to help you master this concept.

What is a Composite Figure?

Composite Figure

A composite figure is a shape made up of two or more simple shapes. Simple shapes are usually basic shapes like squares, rectangles, triangles, and circles. By combining these simple shapes, you can create more complex shapes like composite figures. When calculating the area of a composite figure, you need to break it down into the simple shapes that make it up, calculate the area of those shapes, and then add the areas together.

How to Find the Area of Composite Figures

Finding Area Of Composite Figures

To find the area of a composite figure, follow these steps:

  1. Break the composite figure down into simple shapes.
  2. Calculate the area of each simple shape.
  3. Add the areas of the simple shapes together to find the total area of the composite figure.

Let's look at an example:

Composite Figure Example

Find the area of the composite figure above.

Step 1: Break the figure down into simple shapes.

The figure can be divided into a rectangle and a triangle.

Step 2: Calculate the area of each simple shape.

The area of the rectangle is 10 cm x 6 cm = 60 cm².

The area of the triangle is ½ x 6 cm x 8 cm = 24 cm².

Step 3: Add the areas of the simple shapes together to find the total area of the composite figure.

The total area of the composite figure is 60 cm² + 24 cm² = 84 cm².

Practice Problems

Now that you know how to find the area of composite figures, let's practice with some problems. Use the lesson 9 3 area of composite figures answer key pdf to check your work.

  1. Find the area of the composite figure below.
    2. Composite Figure Practice Problem 1
  2. Find the area of the composite figure below.
    3. Composite Figure Practice Problem 2
  3. Find the area of the composite figure below.
    4. Composite Figure Practice Problem 3

Lesson 9 3 Area of Composite Figures Answer Key Pdf

Check your answers with the lesson 9 3 area of composite figures answer key pdf below:

Lesson 9 3 Area of Composite Figures Answer Key Pdf

Conclusion

Calculating the area of composite figures can seem daunting, but by breaking the shapes down into simple shapes and calculating their areas separately, you can easily find the total area of the composite figure. Remember to use the lesson 9 3 area of composite figures answer key pdf to practice and check your work. With practice, you will master this concept in no time!

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