C007 · Additive FiguresISO 128 · 1:1
Geometric Sailboat — composite figure at 1:1 scale with dimensions, area 24.3 cm²
A = ½·(B+b)·h₁ + ½·b_v·h₂

Primary school · TypeLab 2D

Geometric Sailboat

Geometric Sailboat: a composite plane figure made of a trapezoid with bases 7.6 and 4.6 cm and height 2.4 cm, joined with a triangle with base 4.2 cm and height 4.6 cm. It is a classic primary school geometry problem (“Additive Figures”). The net area is 24.3 cm² and the total perimeter is 23.88 cm.

Certified measurements (1:1 scale)

Net area
24.3 cm²
Total perimeter
23.88 cm
Bounding box
7.6 × 7 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basetrapezoid with bases 7.6 and 4.6 cm and height 2.4 cm14.64 cm²
  2. 2.+triangle with base 4.2 cm and height 4.6 cm9.66 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = ½·(B+b)·h₁ + ½·b_v·h₂

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 14.64 + 9.66 = 24.3 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.

Composite figures →