C094 · Calculus & OptimizationISO 128 · 1:1
Max-Light Norman Window — composite figure at 1:1 scale with dimensions, area 41.27 cm²
Ottimo a 2p fisso: h = r ⇒ b = 2h

High school (grades 11–12) · TypeLab 2D

Max-Light Norman Window

Max-Light Norman Window: a composite plane figure made of a rectangle 6.8 × 3.4 cm, joined with a semicircle of radius 3.4 cm. It is a classic high school (grades 11–12) geometry problem (“Calculus & Optimization”). The net area is 41.27 cm² and the total perimeter is 24.28 cm.

Certified measurements (1:1 scale)

Net area
41.27 cm²
Total perimeter
24.28 cm
Bounding box
6.8 × 6.8 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Baserectangle 6.8 × 3.4 cm23.12 cm²
  2. 2.+semicircle of radius 3.4 cm18.16 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: Ottimo a 2p fisso: h = r ⇒ b = 2h

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 23.12 + 18.16 = 41.27 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.

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