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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 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

  2. 2. An L-shaped figure has outer width 11 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.

    Outer: 11 cm × 15 cm · Arms: 2 cm & 5 cm

  3. 3. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    Outer: 6 cm × 13 cm · Arms: 2 cm & 9 cm

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

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

  5. 5. An L-shaped figure has outer width 10 cm, outer height 13 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 10 cm × 13 cm · Arms: 5 cm & 3 cm

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

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

  7. 7. An L-shaped figure has outer width 15 cm, outer height 13 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 15 cm × 13 cm · Arms: 8 cm & 4 cm

  8. 8. An L-shaped figure has outer width 11 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.

    Outer: 11 cm × 15 cm · Arms: 5 cm & 8 cm

  9. 9. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 14 cm, and horizontal base height 5 cm. Calculate its total area.

    Outer: 17 cm × 10 cm · Arms: 14 cm & 5 cm

  10. 10. An L-shaped figure has outer width 18 cm, outer height 15 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 18 cm × 15 cm · Arms: 11 cm & 4 cm

  11. 11. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 17 cm × 10 cm · Arms: 2 cm & 2 cm

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

    Outer: 6 cm × 11 cm · Arms: 2 cm & 6 cm
12 questions · Seed 47 · 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 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.

  2. 2. An L-shaped figure has outer width 11 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.

    75 cm²

    Split into two rectangles: (2 × 15) + ((11 − 2) × 5) = 30 + 45 = 75 cm².

  3. 3. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    62 cm²

    Split into two rectangles: (2 × 13) + ((6 − 2) × 9) = 26 + 36 = 62 cm².

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

    50 cm²

    Split into two rectangles: (3 × 10) + ((8 − 3) × 4) = 30 + 20 = 50 cm².

  5. 5. An L-shaped figure has outer width 10 cm, outer height 13 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    80 cm²

    Split into two rectangles: (5 × 13) + ((10 − 5) × 3) = 65 + 15 = 80 cm².

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

    33 cm²

    Split into two rectangles: (3 × 6) + ((8 − 3) × 3) = 18 + 15 = 33 cm².

  7. 7. An L-shaped figure has outer width 15 cm, outer height 13 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.

    132 cm²

    Split into two rectangles: (8 × 13) + ((15 − 8) × 4) = 104 + 28 = 132 cm².

  8. 8. An L-shaped figure has outer width 11 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.

    123 cm²

    Split into two rectangles: (5 × 15) + ((11 − 5) × 8) = 75 + 48 = 123 cm².

  9. 9. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 14 cm, and horizontal base height 5 cm. Calculate its total area.

    155 cm²

    Split into two rectangles: (14 × 10) + ((17 − 14) × 5) = 140 + 15 = 155 cm².

  10. 10. An L-shaped figure has outer width 18 cm, outer height 15 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.

    193 cm²

    Split into two rectangles: (11 × 15) + ((18 − 11) × 4) = 165 + 28 = 193 cm².

  11. 11. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    50 cm²

    Split into two rectangles: (2 × 10) + ((17 − 2) × 2) = 20 + 30 = 50 cm².

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

    46 cm²

    Split into two rectangles: (2 × 11) + ((6 − 2) × 6) = 22 + 24 = 46 cm².

12 questions · Seed 47 · 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 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

  2. 2. An L-shaped figure has outer width 11 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.

    Outer: 11 cm × 15 cm · Arms: 2 cm & 5 cm

  3. 3. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    Outer: 6 cm × 13 cm · Arms: 2 cm & 9 cm

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

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

  5. 5. An L-shaped figure has outer width 10 cm, outer height 13 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    Outer: 10 cm × 13 cm · Arms: 5 cm & 3 cm

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

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

  7. 7. An L-shaped figure has outer width 15 cm, outer height 13 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 15 cm × 13 cm · Arms: 8 cm & 4 cm

  8. 8. An L-shaped figure has outer width 11 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.

    Outer: 11 cm × 15 cm · Arms: 5 cm & 8 cm

  9. 9. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 14 cm, and horizontal base height 5 cm. Calculate its total area.

    Outer: 17 cm × 10 cm · Arms: 14 cm & 5 cm

  10. 10. An L-shaped figure has outer width 18 cm, outer height 15 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 18 cm × 15 cm · Arms: 11 cm & 4 cm

  11. 11. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 17 cm × 10 cm · Arms: 2 cm & 2 cm

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

    Outer: 6 cm × 11 cm · Arms: 2 cm & 6 cm
12 questions · Seed 47 · 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 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.

  2. 2. An L-shaped figure has outer width 11 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.

    75 cm²

    Split into two rectangles: (2 × 15) + ((11 − 2) × 5) = 30 + 45 = 75 cm².

  3. 3. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    62 cm²

    Split into two rectangles: (2 × 13) + ((6 − 2) × 9) = 26 + 36 = 62 cm².

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

    50 cm²

    Split into two rectangles: (3 × 10) + ((8 − 3) × 4) = 30 + 20 = 50 cm².

  5. 5. An L-shaped figure has outer width 10 cm, outer height 13 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.

    80 cm²

    Split into two rectangles: (5 × 13) + ((10 − 5) × 3) = 65 + 15 = 80 cm².

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

    33 cm²

    Split into two rectangles: (3 × 6) + ((8 − 3) × 3) = 18 + 15 = 33 cm².

  7. 7. An L-shaped figure has outer width 15 cm, outer height 13 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.

    132 cm²

    Split into two rectangles: (8 × 13) + ((15 − 8) × 4) = 104 + 28 = 132 cm².

  8. 8. An L-shaped figure has outer width 11 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.

    123 cm²

    Split into two rectangles: (5 × 15) + ((11 − 5) × 8) = 75 + 48 = 123 cm².

  9. 9. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 14 cm, and horizontal base height 5 cm. Calculate its total area.

    155 cm²

    Split into two rectangles: (14 × 10) + ((17 − 14) × 5) = 140 + 15 = 155 cm².

  10. 10. An L-shaped figure has outer width 18 cm, outer height 15 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.

    193 cm²

    Split into two rectangles: (11 × 15) + ((18 − 11) × 4) = 165 + 28 = 193 cm².

  11. 11. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    50 cm²

    Split into two rectangles: (2 × 10) + ((17 − 2) × 2) = 20 + 30 = 50 cm².

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

    46 cm²

    Split into two rectangles: (2 × 11) + ((6 − 2) × 6) = 22 + 24 = 46 cm².

12 questions · Seed 47 · Age guidance, not curriculum certification