Math Clip Art--Geometry Concepts--Composite Figures--Composite Figure 4

Topic

Geometry Concepts

Description

This image depicts a composite figure consisting of a regular pentagon and a square. This combination of shapes demonstrates how different polygons can be combined to create more complex geometric figures.

To calculate the total area of this composite figure, we would add the area of the pentagon (given by the formula A = ¼√(25+10√5)s², where s is the side length) to the area of the square (s²). The perimeter would involve summing the lengths of all outer sides of both shapes that are not shared.

This figure provides an excellent opportunity to discuss the properties of regular polygons, including interior angles and symmetry. It also demonstrates how combining shapes with different numbers of sides can create interesting geometric designs, which is relevant in fields such as architecture and graphic design.

Teacher's Script: "Look at this composite shape. How do the pentagon and square relate to each other? How would you approach calculating its total area? What challenges might you face in determining its perimeter? Can you think of any real-world applications where combining these shapes might be useful?"

For a complete collection of math clip art related to Geometry click on this link: Math Clip Art: Geometry Concepts Collection.