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Free summary · Grade 7 Maths

Area

The space inside a shape: count squares or use l × b. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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Area

5 cm3 cmPerimeter (red edge):5+3+5+3 = 16 cmArea (squares):5 × 3 = 15 cm²
5 × 3 = 15 square centimetres

Area is the space inside a flat shape. Count the squares, or use a formula.

ShapeFormula
squares × s
rectanglel × b
triangle½ × b × h

The height of a triangle is the perpendicular height: the line from the top vertex that meets the base at 90°, not a slanted side.

Watch out

Area units are square: cm², m². Don’t mix it up with perimeter.

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On a grid

Count the whole squares, then match up the half squares: two halves = one whole. Example: a shape covers 8 whole squares and 4 half squares, so its area = 8 + 2 = 10 squares.

A right-angled triangle on a grid is half of the rectangle drawn on its two short sides. Any triangle with its base on one side of a rectangle and its top point on the opposite side is also half of that rectangle. Otherwise: count the whole squares and match up the part squares.

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Formulae and units

ShapeArea
Squares × s = s²
Rectanglel × b
Triangle½ × base × height
  • Triangle with base 8 cm and height 5 cm: ½ × 8 × 5 = 20 cm².
  • 1 cm² = 100 mm²; 1 m² = 10 000 cm². Measurements can have decimals (e.g. 4,5 cm); round your answer to 1 decimal place only when the question asks you to.
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Remember this and test yourself

Remember this: your summary
  • Area = space inside a shape.
  • Area of a rectangle: l × b.
  • Area units are square: cm².
  • Area on a grid: two half squares = one whole.

Write these points in your book. Read them again the night before the test.

Memory trick

Perimeter is the fence; area is the grass.

Flash cards · Tap to turn over

Important words

First say the answer yourself, then turn the card over.

Now the real quiz!

The quiz has many more questions on this topic. Every question shows straight away whether you are right and explains why.

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For parents
  • Let your child work the examples on paper and explain them to you.
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Follows CAPS for Grade 7 Mathematics. Always check your teacher’s notes and textbook too.

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