Middle school · TypeLab 2D
Six-Pointed Star
Six-Pointed Star: a composite plane figure made of a regular hexagon with side 2.4 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm. It is a classic middle school geometry problem (“Composite Polygons”). The net area is 29.93 cm² and the total perimeter is 28.8 cm.
Certified measurements (1:1 scale)
- Net area
- 29.93 cm²
- Total perimeter
- 28.8 cm
- Bounding box
- 7.2 × 8.31 cm
- Basic shapes
- 7
Step-by-step decomposition
- 1.Baseregular hexagon with side 2.4 cm14.96 cm²
- 2.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
- 3.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
- 4.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
- 5.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
- 6.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
- 7.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = 3√3·l² (12 triangoli equilateri)
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 14.96 + 2.49 + 2.49 + 2.49 + 2.49 + 2.49 + 2.49 = 29.93 cm².
Editable in PowerPoint & Office
The .PPTX file contains native DrawingML shapes: outlines, dimensions and labels stay separate objects you can recolor and edit in PowerPoint, Keynote and Google Slides. The .SVG file is pure vector art at 1:1 scale on an A4 sheet, ready for print, LaTeX and textbook layout.