AC9M4M02 • Practice
Perimeter and Area of Shapes and Enclosed Spaces
Read the quick preparation notes, then start when you are ready.
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Quick preparation
- Perimeter measures the whole boundary using length units. Area measures the enclosed surface using square units or other equal area units.
- Count boundary lengths for perimeter and covered tiles for area. Fit area units without gaps or overlaps; combine part units when a boundary cuts through a tile.
- Choose formal or informal units that suit the space. State when a result is approximate, and explain your measuring method.
SkillrHub Practice guide
Each attempt draws five questions from the full bank. Repeat an attempt to meet more questions and use the feedback to improve.
- Worked example: If a region covers 12 whole grid squares and 6 half-squares, pair the halves to make 3 whole squares. The area is 12 + 3 = 15 square units. For a curved boundary, fit string around the complete edge once, mark the meeting point, then straighten and measure the string.
- Common mistake: Do not add internal grid lines to the perimeter or count boundary lengths as area. The same area can have different perimeters. For the same length or area, smaller units give a larger count.
- Materials and practical tasks: Have paper, a pencil, a ruler, string and one paper square ready for practical tasks. Use separate paper when a diagram needs more room. An adult checks actual measuring, drawings and explanations before awarding credit; a printed picture is not a calibrated ruler.
- Review: Trace the complete boundary for perimeter. For area, check how the units cover the surface and how part units combine. Include the unit and explain any estimate.
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