Middle school · TypeLab 2D
Stepped Z-Profile
Stepped Z-Profile: a composite plane figure made of a rectangle 2.6 × 5.4 cm, joined with a rectangle 2.2 × 2.8 cm, joined with a rectangle 2.2 × 2.8 cm. It is a classic middle school geometry problem (“Composite Polygons”). The net area is 26.36 cm² and the total perimeter is 27.2 cm.
Certified measurements (1:1 scale)
- Net area
- 26.36 cm²
- Total perimeter
- 27.2 cm
- Bounding box
- 8.2 × 5.4 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Baserectangle 2.6 × 5.4 cm14.04 cm²
- 2.+rectangle 2.2 × 2.8 cm6.16 cm²
- 3.+rectangle 2.2 × 2.8 cm6.16 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = b_c·h_c + 2·(b_a·h_a)
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 14.04 + 6.16 + 6.16 = 26.36 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.
