7th Grade · Geometry

Composite Figure

7.G.B.6

Definition

A shape made up of two or more basic geometric shapes. Find the total area by decomposing (breaking apart) and adding the areas of the individual shapes.

Teach it

Where it is taught, with guided notes, practice, homework, an exit ticket and an interactive Teacher Deck.

Examples

  • Two rectangles, 5m×6m = 30m2 and 3m×4m = 12m2, total 42m2.
  • Subtract method: full rectangle 8 × 6 = 48, minus missing 3 × 2 = 6, gives 42m2 — same answer.

Key rule

Decompose the figure, find each area separately, then add them together.

Memory hook

Break the shape into pieces you already know how to measure.