Math Clip Art--Composite Figures--Composite Figure 8

Topic

Geometry Concepts

Description

This image illustrates a composite figure composed of two regular hexagons connected by a square. This unique configuration combines the properties of hexagons and squares in an interesting geometric arrangement.

To calculate the total area of this figure, we would add the areas of the two hexagons (A = (3√3 * s²) / 2 for each, where s is the side length) and the area of the connecting square (s²). The perimeter would involve summing the lengths of all outer sides of the figure.

This composite figure provides an excellent opportunity to discuss how different regular polygons can be combined to create more complex shapes. It also allows for exploration of concepts like symmetry, tessellation, and the relationship between different polygons.

Teacher's Script: "Look at this interesting shape combining hexagons and a square. How would you approach calculating its total area and perimeter? What properties of hexagons and squares can you identify in this figure? Can you think of any real-world applications where a shape like this might be useful, perhaps in design or engineering?"

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