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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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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 6 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 6 cm × 9 cm · Arms: 2 cm & 2 cm

  2. 2. An L-shaped figure has outer width 8 cm, outer height 12 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 8 cm × 12 cm · Arms: 5 cm & 3 cm

  3. 3. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.

    Outer: 17 cm × 10 cm · Arms: 4 cm & 7 cm

  4. 4. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 10 cm × 14 cm · Arms: 2 cm & 6 cm

  5. 5. An L-shaped figure has outer width 16 cm, outer height 18 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 16 cm × 18 cm · Arms: 10 cm & 4 cm

  6. 6. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 12 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 18 cm × 10 cm · Arms: 12 cm & 3 cm

  7. 7. An L-shaped figure has outer width 8 cm, outer height 11 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 8 cm × 11 cm · Arms: 3 cm & 6 cm

  8. 8. An L-shaped figure has outer width 16 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 16 cm × 15 cm · Arms: 5 cm & 2 cm

  9. 9. An L-shaped figure has outer width 8 cm, outer height 16 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    Outer: 8 cm × 16 cm · Arms: 2 cm & 9 cm

  10. 10. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 6 cm, and horizontal base height 7 cm. Calculate its total area.

    Outer: 14 cm × 12 cm · Arms: 6 cm & 7 cm

  11. 11. An L-shaped figure has outer width 10 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 10 cm × 8 cm · Arms: 3 cm & 4 cm

  12. 12. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 8 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 17 cm × 10 cm · Arms: 8 cm & 3 cm
12 questions · Seed 42 · 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 6 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    26 cm²

    Split into two rectangles: (2 × 9) + ((6 − 2) × 2) = 18 + 8 = 26 cm².

  2. 2. An L-shaped figure has outer width 8 cm, outer height 12 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    69 cm²

    Split into two rectangles: (5 × 12) + ((8 − 5) × 3) = 60 + 9 = 69 cm².

  3. 3. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.

    131 cm²

    Split into two rectangles: (4 × 10) + ((17 − 4) × 7) = 40 + 91 = 131 cm².

  4. 4. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.

    76 cm²

    Split into two rectangles: (2 × 14) + ((10 − 2) × 6) = 28 + 48 = 76 cm².

  5. 5. An L-shaped figure has outer width 16 cm, outer height 18 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.

    204 cm²

    Split into two rectangles: (10 × 18) + ((16 − 10) × 4) = 180 + 24 = 204 cm².

  6. 6. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 12 cm, and horizontal base height 3 cm. Calculate its total area.

    138 cm²

    Split into two rectangles: (12 × 10) + ((18 − 12) × 3) = 120 + 18 = 138 cm².

  7. 7. An L-shaped figure has outer width 8 cm, outer height 11 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    63 cm²

    Split into two rectangles: (3 × 11) + ((8 − 3) × 6) = 33 + 30 = 63 cm².

  8. 8. An L-shaped figure has outer width 16 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 2 cm. Calculate its total area.

    97 cm²

    Split into two rectangles: (5 × 15) + ((16 − 5) × 2) = 75 + 22 = 97 cm².

  9. 9. An L-shaped figure has outer width 8 cm, outer height 16 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    86 cm²

    Split into two rectangles: (2 × 16) + ((8 − 2) × 9) = 32 + 54 = 86 cm².

  10. 10. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 6 cm, and horizontal base height 7 cm. Calculate its total area.

    128 cm²

    Split into two rectangles: (6 × 12) + ((14 − 6) × 7) = 72 + 56 = 128 cm².

  11. 11. An L-shaped figure has outer width 10 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.

    52 cm²

    Split into two rectangles: (3 × 8) + ((10 − 3) × 4) = 24 + 28 = 52 cm².

  12. 12. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 8 cm, and horizontal base height 3 cm. Calculate its total area.

    107 cm²

    Split into two rectangles: (8 × 10) + ((17 − 8) × 3) = 80 + 27 = 107 cm².

12 questions · Seed 42 · 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 6 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 6 cm × 9 cm · Arms: 2 cm & 2 cm

  2. 2. An L-shaped figure has outer width 8 cm, outer height 12 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 8 cm × 12 cm · Arms: 5 cm & 3 cm

  3. 3. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.

    Outer: 17 cm × 10 cm · Arms: 4 cm & 7 cm

  4. 4. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 10 cm × 14 cm · Arms: 2 cm & 6 cm

  5. 5. An L-shaped figure has outer width 16 cm, outer height 18 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 16 cm × 18 cm · Arms: 10 cm & 4 cm

  6. 6. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 12 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 18 cm × 10 cm · Arms: 12 cm & 3 cm

  7. 7. An L-shaped figure has outer width 8 cm, outer height 11 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 8 cm × 11 cm · Arms: 3 cm & 6 cm

  8. 8. An L-shaped figure has outer width 16 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 16 cm × 15 cm · Arms: 5 cm & 2 cm

  9. 9. An L-shaped figure has outer width 8 cm, outer height 16 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    Outer: 8 cm × 16 cm · Arms: 2 cm & 9 cm

  10. 10. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 6 cm, and horizontal base height 7 cm. Calculate its total area.

    Outer: 14 cm × 12 cm · Arms: 6 cm & 7 cm

  11. 11. An L-shaped figure has outer width 10 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 10 cm × 8 cm · Arms: 3 cm & 4 cm

  12. 12. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 8 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 17 cm × 10 cm · Arms: 8 cm & 3 cm
12 questions · Seed 42 · 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 6 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    26 cm²

    Split into two rectangles: (2 × 9) + ((6 − 2) × 2) = 18 + 8 = 26 cm².

  2. 2. An L-shaped figure has outer width 8 cm, outer height 12 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    69 cm²

    Split into two rectangles: (5 × 12) + ((8 − 5) × 3) = 60 + 9 = 69 cm².

  3. 3. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.

    131 cm²

    Split into two rectangles: (4 × 10) + ((17 − 4) × 7) = 40 + 91 = 131 cm².

  4. 4. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.

    76 cm²

    Split into two rectangles: (2 × 14) + ((10 − 2) × 6) = 28 + 48 = 76 cm².

  5. 5. An L-shaped figure has outer width 16 cm, outer height 18 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.

    204 cm²

    Split into two rectangles: (10 × 18) + ((16 − 10) × 4) = 180 + 24 = 204 cm².

  6. 6. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 12 cm, and horizontal base height 3 cm. Calculate its total area.

    138 cm²

    Split into two rectangles: (12 × 10) + ((18 − 12) × 3) = 120 + 18 = 138 cm².

  7. 7. An L-shaped figure has outer width 8 cm, outer height 11 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.

    63 cm²

    Split into two rectangles: (3 × 11) + ((8 − 3) × 6) = 33 + 30 = 63 cm².

  8. 8. An L-shaped figure has outer width 16 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 2 cm. Calculate its total area.

    97 cm²

    Split into two rectangles: (5 × 15) + ((16 − 5) × 2) = 75 + 22 = 97 cm².

  9. 9. An L-shaped figure has outer width 8 cm, outer height 16 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    86 cm²

    Split into two rectangles: (2 × 16) + ((8 − 2) × 9) = 32 + 54 = 86 cm².

  10. 10. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 6 cm, and horizontal base height 7 cm. Calculate its total area.

    128 cm²

    Split into two rectangles: (6 × 12) + ((14 − 6) × 7) = 72 + 56 = 128 cm².

  11. 11. An L-shaped figure has outer width 10 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.

    52 cm²

    Split into two rectangles: (3 × 8) + ((10 − 3) × 4) = 24 + 28 = 52 cm².

  12. 12. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 8 cm, and horizontal base height 3 cm. Calculate its total area.

    107 cm²

    Split into two rectangles: (8 × 10) + ((17 − 8) × 3) = 80 + 27 = 107 cm².

12 questions · Seed 42 · Age guidance, not curriculum certification