Area of L-shapes and composite shapes

Decompose an L-shape or composite shape into rectangles, then find its total area using the addition method (adding the parts) or the subtraction method (subtracting a missing piece from a larger rectangle).

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM5-4
  • GM4-3
New NZC (2026)
  • NZC26-P4-MEA-MEA-P-Y10-03
  • NZC26-P3-MEA-MEA-K-Y7-04

Resources

Terminology

  • composite shape
  • l-shape
  • decompose (or break apart)

Task goals

  • Decompose an L-shape or composite shape into rectangles (or a rectangle with a piece removed), and decide whether the addition or subtraction method applies.
  • Find the total area of an L-shape by splitting it into two rectangles and adding their areas (the addition method).
  • Find the area of a rectangle with a smaller rectangular piece removed, by subtracting the missing piece's area from the whole (the subtraction method).
  • Find both the area and the perimeter of a composite shape formed by a rectangle with a square corner removed.

Where this fits

What leads into this objective, and where it goes next.

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Area of L-shapes and composite shapes

Area of L-shapes and composite shapes

Know

Shapes can be decomposed or recomposed to help find their measurements (e.g. their perimeters, areas, and volumes).

Statement▸
Year 7 · Measurement · Measuring
NZC26-P3-MEA-MEA-K-Y7-04

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