Middle school · TypeLab 2D
Four-Hole Square Flange
Four-Hole Square Flange: a composite plane figure made of a square with side 7 cm, minus a circle of radius 0.9 cm, minus a circle of radius 0.9 cm, minus a circle of radius 0.9 cm, minus a circle of radius 0.9 cm. It is a classic middle school geometry problem (“Cutouts & Benchmarks”). The net area is 38.83 cm² and the total perimeter is 50.62 cm, including 22.62 cm along the 4 inner holes.
Certified measurements (1:1 scale)
- Net area
- 38.83 cm²
- Total perimeter
- 50.62 cm
- Outer boundary
- 28 cm
- Hole boundaries
- 22.62 cm
- Bounding box
- 7 × 7 cm
- Basic shapes
- 5
Step-by-step decomposition
- 1.Basesquare with side 7 cm49 cm²
- 2.−circle of radius 0.9 cm2.54 cm²
- 3.−circle of radius 0.9 cm2.54 cm²
- 4.−circle of radius 0.9 cm2.54 cm²
- 5.−circle of radius 0.9 cm2.54 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = l² − 4·π·r²
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 49 − 2.54 − 2.54 − 2.54 − 2.54 = 38.83 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.
