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Grade 8 · Measurement
Area and Perimeter: Every Shape (Complete Guide)
MEMORANDUM
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  / 20

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    Perimeter of a rectangle 8 cm by 5 cm (rectangle)
    (2)
    8 cm 5 cm
    2(8 + 5) = 26 cm✓✓ (2)
  2. 2
    Area of a rectangle 8 cm by 5 cm (rectangle)
    (2)
    8 cm 5 cm
    8 × 5 = 40 cm2✓✓ (2)
  3. 3
    Perimeter and area of a square with side 6 cm (square)
    (2)
    6 cm 6 cm
    P = 4×6 = 24 cm; A = 62 = 36 cm2✓✓ (2)
  4. 4
    Area of a triangle, base 10 cm, height 6 cm (triangle)
    (2)
    base 10 cm h = 6
    12 × 10 × 6 = 30 cm2✓✓ (2)
  5. 5
    Area of a triangle, base 14 cm, height 5 cm (triangle)
    (2)
    base 14 cm h = 5
    12 × 14 × 5 = 35 cm2✓✓ (2)
  6. 6
    Circumference of a circle, radius 5 cm (π ≈ 3.14) (circle)
    (2)
    r = 5 cm
    2 × 3.14 × 5 = 31.4 cm✓✓ (2)
  7. 7
    Area of a circle, radius 10 cm (π ≈ 3.14) (circle)
    (2)
    r = 10 cm
    3.14 × 100 = 314 cm2✓✓ (2)
  8. 8
    Area of a circle with DIAMETER 12 cm (π ≈ 3.14) (circle)
    (2)
    d = 12 cm
    r = 6; 3.14 × 36 = 113.04 cm2✓✓ (2)
  9. 9
    A 10×8 rectangle with a 3×2 rectangle cut out — area? (composite)
    (2)
    10 cm 8 cm 3×2 cut-out removed
    80 − 6 = 74 cm2✓✓ (2)
  10. 10
    A rectangle has area 60 cm2 and breadth 5 cm. Find its length. (reverse)
    (2)
    60 ÷ 5 = 12 cm✓✓ (2)
TOTAL: 20 marks
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