Areas of Composite Figures

Concept

Composite Figure

A composite figure is a plane figure made of two or more two-dimensional figures combined in a way that creates a new figure. For example, the following figure is made of a rectangle, a triangle, and a semicircle.

Composite Figure

The perimeter of such a figure is the total distance around it, just remember not to count the same side twice. Additionally, the area of a compound figure is found by combining up the areas of all the basic figures that make up it.

Animation to find the perimeter and area of the composite figure

From the definition, composite figures can also have holes inside. For instance, consider a figure that is a combination of a square and a circle, where the circle is removed from the inside of the square, creating a hole.

In this case, the area of the composite figure is the difference between the area of the square and the area of the circle. The perimeter coincides with the perimeter of the square.

Exercises
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