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MathsAges 10-12

Compound L-shape area

Partition an L-shaped rectilinear figure into two non-overlapping rectangles to calculate its total area. Review suitability for your learners before teaching.

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Age band:Ages 10-12Ages 13-15

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Worksheet StudioPractice pack · Ages 10-12

Compound L-shape area

Take your time. Show your thinking.

  1. 1. An L-shaped figure has outer width 10 cm, outer height 6 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 10 cm × 6 cm · Arms: 5 cm & 3 cm

  2. 2. An L-shaped figure has outer width 17 cm, outer height 13 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 17 cm × 13 cm · Arms: 4 cm & 4 cm

  3. 3. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 11 cm × 18 cm · Arms: 3 cm & 6 cm

  4. 4. An L-shaped figure has outer width 13 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 13 cm × 18 cm · Arms: 6 cm & 4 cm

  5. 5. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 11 cm × 18 cm · Arms: 6 cm & 2 cm

  6. 6. An L-shaped figure has outer width 9 cm, outer height 9 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 9 cm × 9 cm · Arms: 4 cm & 3 cm

  7. 7. An L-shaped figure has outer width 6 cm, outer height 12 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 6 cm × 12 cm · Arms: 3 cm & 6 cm

  8. 8. An L-shaped figure has outer width 7 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.

    Outer: 7 cm × 13 cm · Arms: 3 cm & 8 cm

  9. 9. An L-shaped figure has outer width 16 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    Outer: 16 cm × 15 cm · Arms: 2 cm & 9 cm

  10. 10. An L-shaped figure has outer width 9 cm, outer height 15 cm, vertical arm width 3 cm, and horizontal base height 10 cm. Calculate its total area.

    Outer: 9 cm × 15 cm · Arms: 3 cm & 10 cm

  11. 11. An L-shaped figure has outer width 14 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 14 cm × 6 cm · Arms: 2 cm & 3 cm

  12. 12. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 10 cm × 18 cm · Arms: 2 cm & 6 cm
12 questions · Seed 43 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12

Compound L-shape area

Answers and reasoning. Review before teaching.

  1. 1. An L-shaped figure has outer width 10 cm, outer height 6 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    45 cm²

    Split into two rectangles: (5 × 6) + ((10 − 5) × 3) = 30 + 15 = 45 cm².

  2. 2. An L-shaped figure has outer width 17 cm, outer height 13 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.

    104 cm²

    Split into two rectangles: (4 × 13) + ((17 − 4) × 4) = 52 + 52 = 104 cm².

  3. 3. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    102 cm²

    Split into two rectangles: (3 × 18) + ((11 − 3) × 6) = 54 + 48 = 102 cm².

  4. 4. An L-shaped figure has outer width 13 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 4 cm. Calculate its total area.

    136 cm²

    Split into two rectangles: (6 × 18) + ((13 − 6) × 4) = 108 + 28 = 136 cm².

  5. 5. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 2 cm. Calculate its total area.

    118 cm²

    Split into two rectangles: (6 × 18) + ((11 − 6) × 2) = 108 + 10 = 118 cm².

  6. 6. An L-shaped figure has outer width 9 cm, outer height 9 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.

    51 cm²

    Split into two rectangles: (4 × 9) + ((9 − 4) × 3) = 36 + 15 = 51 cm².

  7. 7. An L-shaped figure has outer width 6 cm, outer height 12 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    54 cm²

    Split into two rectangles: (3 × 12) + ((6 − 3) × 6) = 36 + 18 = 54 cm².

  8. 8. An L-shaped figure has outer width 7 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.

    71 cm²

    Split into two rectangles: (3 × 13) + ((7 − 3) × 8) = 39 + 32 = 71 cm².

  9. 9. An L-shaped figure has outer width 16 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    156 cm²

    Split into two rectangles: (2 × 15) + ((16 − 2) × 9) = 30 + 126 = 156 cm².

  10. 10. An L-shaped figure has outer width 9 cm, outer height 15 cm, vertical arm width 3 cm, and horizontal base height 10 cm. Calculate its total area.

    105 cm²

    Split into two rectangles: (3 × 15) + ((9 − 3) × 10) = 45 + 60 = 105 cm².

  11. 11. An L-shaped figure has outer width 14 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.

    48 cm²

    Split into two rectangles: (2 × 6) + ((14 − 2) × 3) = 12 + 36 = 48 cm².

  12. 12. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.

    84 cm²

    Split into two rectangles: (2 × 18) + ((10 − 2) × 6) = 36 + 48 = 84 cm².

12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Compound L-shape area

Take your time. Show your thinking.

  1. 1. An L-shaped figure has outer width 10 cm, outer height 6 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 10 cm × 6 cm · Arms: 5 cm & 3 cm

  2. 2. An L-shaped figure has outer width 17 cm, outer height 13 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 17 cm × 13 cm · Arms: 4 cm & 4 cm

  3. 3. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 11 cm × 18 cm · Arms: 3 cm & 6 cm

  4. 4. An L-shaped figure has outer width 13 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 13 cm × 18 cm · Arms: 6 cm & 4 cm

  5. 5. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 11 cm × 18 cm · Arms: 6 cm & 2 cm

  6. 6. An L-shaped figure has outer width 9 cm, outer height 9 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 9 cm × 9 cm · Arms: 4 cm & 3 cm

  7. 7. An L-shaped figure has outer width 6 cm, outer height 12 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 6 cm × 12 cm · Arms: 3 cm & 6 cm

  8. 8. An L-shaped figure has outer width 7 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.

    Outer: 7 cm × 13 cm · Arms: 3 cm & 8 cm

  9. 9. An L-shaped figure has outer width 16 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    Outer: 16 cm × 15 cm · Arms: 2 cm & 9 cm

  10. 10. An L-shaped figure has outer width 9 cm, outer height 15 cm, vertical arm width 3 cm, and horizontal base height 10 cm. Calculate its total area.

    Outer: 9 cm × 15 cm · Arms: 3 cm & 10 cm

  11. 11. An L-shaped figure has outer width 14 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 14 cm × 6 cm · Arms: 2 cm & 3 cm

  12. 12. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 10 cm × 18 cm · Arms: 2 cm & 6 cm
12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Compound L-shape area

Answers and reasoning. Review before teaching.

  1. 1. An L-shaped figure has outer width 10 cm, outer height 6 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    45 cm²

    Split into two rectangles: (5 × 6) + ((10 − 5) × 3) = 30 + 15 = 45 cm².

  2. 2. An L-shaped figure has outer width 17 cm, outer height 13 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.

    104 cm²

    Split into two rectangles: (4 × 13) + ((17 − 4) × 4) = 52 + 52 = 104 cm².

  3. 3. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    102 cm²

    Split into two rectangles: (3 × 18) + ((11 − 3) × 6) = 54 + 48 = 102 cm².

  4. 4. An L-shaped figure has outer width 13 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 4 cm. Calculate its total area.

    136 cm²

    Split into two rectangles: (6 × 18) + ((13 − 6) × 4) = 108 + 28 = 136 cm².

  5. 5. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 2 cm. Calculate its total area.

    118 cm²

    Split into two rectangles: (6 × 18) + ((11 − 6) × 2) = 108 + 10 = 118 cm².

  6. 6. An L-shaped figure has outer width 9 cm, outer height 9 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.

    51 cm²

    Split into two rectangles: (4 × 9) + ((9 − 4) × 3) = 36 + 15 = 51 cm².

  7. 7. An L-shaped figure has outer width 6 cm, outer height 12 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    54 cm²

    Split into two rectangles: (3 × 12) + ((6 − 3) × 6) = 36 + 18 = 54 cm².

  8. 8. An L-shaped figure has outer width 7 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.

    71 cm²

    Split into two rectangles: (3 × 13) + ((7 − 3) × 8) = 39 + 32 = 71 cm².

  9. 9. An L-shaped figure has outer width 16 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    156 cm²

    Split into two rectangles: (2 × 15) + ((16 − 2) × 9) = 30 + 126 = 156 cm².

  10. 10. An L-shaped figure has outer width 9 cm, outer height 15 cm, vertical arm width 3 cm, and horizontal base height 10 cm. Calculate its total area.

    105 cm²

    Split into two rectangles: (3 × 15) + ((9 − 3) × 10) = 45 + 60 = 105 cm².

  11. 11. An L-shaped figure has outer width 14 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.

    48 cm²

    Split into two rectangles: (2 × 6) + ((14 − 2) × 3) = 12 + 36 = 48 cm².

  12. 12. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.

    84 cm²

    Split into two rectangles: (2 × 18) + ((10 − 2) × 6) = 36 + 48 = 84 cm².

12 questions · Seed 43 · Age guidance, not curriculum certification