High school (grades 9–10) · TypeLab 2D
Slotted Mechanical Plate
Slotted Mechanical Plate: a composite plane figure made of a rectangle 8.4 × 5.4 cm, minus a rectangle 3.2 × 2 cm, minus a circle of radius 1 cm, minus a circle of radius 1 cm. It is a classic high school (grades 9–10) geometry problem (“Structural Sections”). The net area is 35.82 cm² and the total perimeter is 40.28 cm, including 12.68 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 35.82 cm²
- Total perimeter
- 40.28 cm
- Outer boundary
- 27.6 cm
- Hole boundaries
- 12.68 cm
- Bounding box
- 8.4 × 5.4 cm
- Basic shapes
- 4
Step-by-step decomposition
- 1.Baserectangle 8.4 × 5.4 cm45.36 cm²
- 2.−rectangle 3.2 × 2 cm6.4 cm²
- 3.−circle of radius 1 cm3.14 cm²
- 4.−circle of radius 1 cm3.14 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = B·H − (b_a·2r + π·r²)
The parts overlap or intersect, so the net area (35.82 cm²) comes from the exact Boolean operation rather than from a plain sum of the part areas.
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.
