Math Clip Art--Composite Figures--Simple Composite Shapes: 04

Topic

Geometry Concepts

Description

This image depicts a composite shape made up of a regular hexagon and two equilateral triangles. This configuration is often seen in tessellation patterns and architectural designs.

To calculate the total area of this composite figure, we would add the area of the hexagon (A = (3√3/2)s²) to the areas of the two equilateral triangles (A = (√3/4)s² for each). The perimeter would involve summing the lengths of all outer sides, excluding any shared edges.

This figure provides an excellent opportunity to discuss the properties of regular polygons and triangles, including symmetry and tessellation. It also demonstrates how combining these shapes can create more complex and visually appealing designs.

Teacher's Script: "Examine this composite shape. How would you approach calculating its total area and perimeter? What properties of hexagons and equilateral triangles can you identify in this figure? Can you think of any real-world applications where a shape like this might be useful, perhaps in tiling or design?"

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