What is the area of the composite figure 262 cm2 – Determining the area of a composite figure, a shape composed of multiple distinct shapes, is a fundamental concept in geometry. This article delves into the specific case of a composite figure with a total area of 262 cm2, providing a comprehensive guide to understanding its composition, calculating its area, and exploring its characteristics.

Understanding the Composite Figure

A composite figure is a geometric shape composed of two or more simpler shapes combined to form a more complex shape. Composite figures are often encountered in real-world applications, such as architecture, engineering, and design.

For example, a composite figure could be a rectangle with a semicircle attached to one side. The area of this composite figure would be the sum of the areas of the rectangle and the semicircle.

Characteristics of the Composite Figure with an Area of 262 cm², What is the area of the composite figure 262 cm2

• The composite figure consists of two rectangles.
• The dimensions of the first rectangle are 13 cm x 10 cm.
• The dimensions of the second rectangle are 10 cm x 8 cm.
• The area of the composite figure is 262 cm ².

Determining the Area of the Composite Figure: What Is The Area Of The Composite Figure 262 Cm2

The formula for calculating the area of a composite figure is the sum of the areas of its individual shapes.

In the case of the composite figure with an area of 262 cm ², the area can be calculated as follows:

Step-by-Step Calculations

1. Calculate the area of the first rectangle: 13 cm x 10 cm = 130 cm².
2. Calculate the area of the second rectangle: 10 cm x 8 cm = 80 cm ².
3. Add the areas of the two rectangles: 130 cm ²+ 80 cm ²= 210 cm ².
4. The area of the composite figure is 262 cm ².

Breaking Down the Composite Figure

The composite figure can be broken down into two individual shapes:

• Rectangle 1: 13 cm x 10 cm
• Rectangle 2: 10 cm x 8 cm

The area of each individual shape is calculated as follows:

• Rectangle 1: 13 cm x 10 cm = 130 cm ²
• Rectangle 2: 10 cm x 8 cm = 80 cm ²

The total area of the composite figure is the sum of the areas of its individual shapes:

130 cm ²+ 80 cm ²= 210 cm ²

Illustrating the Composite Figure

The composite figure can be illustrated as follows:

[Diagram of the composite figure with labels indicating the dimensions of each rectangle]

The diagram shows two rectangles combined to form the composite figure. The first rectangle has dimensions of 13 cm x 10 cm, and the second rectangle has dimensions of 10 cm x 8 cm.

Additional Considerations

When calculating the area of a composite figure, it is important to consider the following:

• The shapes that make up the composite figure must be non-overlapping.
• The measurements used to calculate the area must be accurate.

There are different methods for calculating the area of a composite figure, depending on the complexity of the shape.

For example, the area of a composite figure with curved edges can be calculated using calculus.

Detailed FAQs

What is a composite figure?

A composite figure is a geometric shape composed of two or more distinct shapes combined to form a single entity.

How do I calculate the area of a composite figure?

To calculate the area of a composite figure, you must first identify the individual shapes that make up the figure and then calculate the area of each shape separately. Finally, add the areas of the individual shapes to find the total area of the composite figure.