C017 · Frames & CutoutsISO 128 · 1:1
House with Door — composite figure at 1:1 scale with dimensions, area 42.98 cm²
A = l² + ½·l·h_t − b_p·h_p

Primary school · TypeLab 2D

House with Door

House with Door: a composite plane figure made of a square with side 6.2 cm, joined with a triangle with base 6.2 cm and height 3.4 cm, minus a rectangle 2 × 3 cm. It is a classic primary school geometry problem (“Frames & Cutouts”). The net area is 42.98 cm² and the total perimeter is 33.8 cm.

Certified measurements (1:1 scale)

Net area
42.98 cm²
Total perimeter
33.8 cm
Bounding box
6.2 × 9.6 cm
Basic shapes
3
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basesquare with side 6.2 cm38.44 cm²
  2. 2.+triangle with base 6.2 cm and height 3.4 cm10.54 cm²
  3. 3.−rectangle 2 × 3 cm6 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = l² + ½·l·h_t − b_p·h_p

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 38.44 + 10.54 − 6 = 42.98 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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