Middle school · TypeLab 2D
Three-Step Staircase
Three-Step Staircase: a composite plane figure made of a square with side 6.6 cm, minus a rectangle 4.4 × 2.2 cm, minus a square with side 2.2 cm. It is a classic middle school geometry problem (“Composite Polygons”). The net area is 29.04 cm² and the total perimeter is 26.4 cm.
Certified measurements (1:1 scale)
- Net area
- 29.04 cm²
- Total perimeter
- 26.4 cm
- Bounding box
- 6.6 × 6.6 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Basesquare with side 6.6 cm43.56 cm²
- 2.−rectangle 4.4 × 2.2 cm9.68 cm²
- 3.−square with side 2.2 cm4.84 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = 6·u² · 2p = 4·L
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 43.56 − 9.68 − 4.84 = 29.04 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.
