Middle school · TypeLab 2D
Four-Pointed Star
Four-Pointed Star: a composite plane figure made of a square with side 3.4 cm, joined with a triangle with base 3.4 cm and height 2.6 cm, joined with a triangle with base 3.4 cm and height 2.6 cm, joined with a triangle with base 3.4 cm and height 2.6 cm, joined with a triangle with base 3.4 cm and height 2.6 cm. It is a classic middle school geometry problem (“Composite Polygons”). The net area is 29.24 cm² and the total perimeter is 24.85 cm.
Certified measurements (1:1 scale)
- Net area
- 29.24 cm²
- Total perimeter
- 24.85 cm
- Bounding box
- 8.6 × 8.6 cm
- Basic shapes
- 5
Step-by-step decomposition
- 1.Basesquare with side 3.4 cm11.56 cm²
- 2.+triangle with base 3.4 cm and height 2.6 cm4.42 cm²
- 3.+triangle with base 3.4 cm and height 2.6 cm4.42 cm²
- 4.+triangle with base 3.4 cm and height 2.6 cm4.42 cm²
- 5.+triangle with base 3.4 cm and height 2.6 cm4.42 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = l² + 4·(½·l·h)
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 11.56 + 4.42 + 4.42 + 4.42 + 4.42 = 29.24 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.
