Math Clip Art--Composite Figures--Composite Figure 7

Topic

Geometry Concepts

Description

This image depicts a composite figure consisting of two adjacent regular hexagons. This configuration is often found in nature, such as in honeycomb structures, and is used in various design and engineering applications.

To calculate the total area of this figure, we would add the areas of the two hexagons (given by the formula A = (3√3 * s²) / 2, where s is the side length). The perimeter would involve summing the lengths of all outer sides, excluding the shared edge between the hexagons.

This composite figure is excellent for teaching students about regular polygons, tessellations, and symmetry. It also provides an opportunity to discuss how geometric shapes can be efficiently packed together, a concept important in fields like materials science and crystallography.

Teacher's Script: "Examine these adjacent hexagons. How would you calculate the total area and perimeter of this figure? What properties of regular hexagons can you identify? Can you think of any examples in nature or human-made structures that use this hexagonal pattern? Why might this shape be useful in certain applications?"

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