Middle school · TypeLab 2D
Twin-Hole Plate
Twin-Hole Plate: a composite plane figure made of a rectangle 8.4 × 4.8 cm, minus a circle of radius 1.3 cm, minus a circle of radius 1.3 cm. It is a classic middle school geometry problem (“Cutouts & Benchmarks”). The net area is 29.71 cm² and the total perimeter is 42.73 cm, including 16.33 cm along the 2 inner holes.
Certified measurements (1:1 scale)
- Net area
- 29.71 cm²
- Total perimeter
- 42.73 cm
- Outer boundary
- 26.4 cm
- Hole boundaries
- 16.33 cm
- Bounding box
- 8.4 × 4.8 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Baserectangle 8.4 × 4.8 cm40.32 cm²
- 2.−circle of radius 1.3 cm5.31 cm²
- 3.−circle of radius 1.3 cm5.31 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = b·h − 2·π·r²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 40.32 − 5.31 − 5.31 = 29.71 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.
