C014 · Orthogonal ProfilesISO 128 · 1:1
Stepped Podium — composite figure at 1:1 scale with dimensions, area 27.36 cm²
A = B·h₁ + b·h₂

Primary school · TypeLab 2D

Stepped Podium

Stepped Podium: a composite plane figure made of a rectangle 7.8 × 2.4 cm, joined with a rectangle 3.6 × 2.4 cm. It is a classic primary school geometry problem (“Orthogonal Profiles”). The net area is 27.36 cm² and the total perimeter is 25.2 cm.

Certified measurements (1:1 scale)

Net area
27.36 cm²
Total perimeter
25.2 cm
Bounding box
7.8 × 4.8 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Baserectangle 7.8 × 2.4 cm18.72 cm²
  2. 2.+rectangle 3.6 × 2.4 cm8.64 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = B·h₁ + b·h₂

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 18.72 + 8.64 = 27.36 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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