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MathsAges 13-15

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 13-15

Compound L-shape area

Take your time. Show your thinking.

  1. 1. An L-shaped figure has outer width 14 cm, outer height 16 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 14 cm × 16 cm · Arms: 7 cm & 2 cm

  2. 2. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 4 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 14 cm × 12 cm · Arms: 4 cm & 6 cm

  3. 3. An L-shaped figure has outer width 16 cm, outer height 17 cm, vertical arm width 9 cm, and horizontal base height 11 cm. Calculate its total area.

    Outer: 16 cm × 17 cm · Arms: 9 cm & 11 cm

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

    Outer: 7 cm × 11 cm · Arms: 3 cm & 7 cm

  5. 5. An L-shaped figure has outer width 14 cm, outer height 15 cm, vertical arm width 10 cm, and horizontal base height 10 cm. Calculate its total area.

    Outer: 14 cm × 15 cm · Arms: 10 cm & 10 cm

  6. 6. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 18 cm × 7 cm · Arms: 9 cm & 4 cm

  7. 7. An L-shaped figure has outer width 8 cm, outer height 18 cm, vertical arm width 2 cm, and horizontal base height 8 cm. Calculate its total area.

    Outer: 8 cm × 18 cm · Arms: 2 cm & 8 cm

  8. 8. An L-shaped figure has outer width 13 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.

    Outer: 13 cm × 10 cm · Arms: 4 cm & 7 cm

  9. 9. An L-shaped figure has outer width 14 cm, outer height 11 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 14 cm × 11 cm · Arms: 8 cm & 4 cm

  10. 10. An L-shaped figure has outer width 6 cm, outer height 16 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    Outer: 6 cm × 16 cm · Arms: 2 cm & 9 cm

  11. 11. An L-shaped figure has outer width 6 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 6 cm × 15 cm · Arms: 2 cm & 2 cm

  12. 12. An L-shaped figure has outer width 14 cm, outer height 18 cm, vertical arm width 9 cm, and horizontal base height 7 cm. Calculate its total area.

    Outer: 14 cm × 18 cm · Arms: 9 cm & 7 cm
12 questions · Seed 44 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Compound L-shape area

Answers and reasoning. Review before teaching.

  1. 1. An L-shaped figure has outer width 14 cm, outer height 16 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.

    126 cm²

    Split into two rectangles: (7 × 16) + ((14 − 7) × 2) = 112 + 14 = 126 cm².

  2. 2. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 4 cm, and horizontal base height 6 cm. Calculate its total area.

    108 cm²

    Split into two rectangles: (4 × 12) + ((14 − 4) × 6) = 48 + 60 = 108 cm².

  3. 3. An L-shaped figure has outer width 16 cm, outer height 17 cm, vertical arm width 9 cm, and horizontal base height 11 cm. Calculate its total area.

    230 cm²

    Split into two rectangles: (9 × 17) + ((16 − 9) × 11) = 153 + 77 = 230 cm².

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

    61 cm²

    Split into two rectangles: (3 × 11) + ((7 − 3) × 7) = 33 + 28 = 61 cm².

  5. 5. An L-shaped figure has outer width 14 cm, outer height 15 cm, vertical arm width 10 cm, and horizontal base height 10 cm. Calculate its total area.

    190 cm²

    Split into two rectangles: (10 × 15) + ((14 − 10) × 10) = 150 + 40 = 190 cm².

  6. 6. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 4 cm. Calculate its total area.

    99 cm²

    Split into two rectangles: (9 × 7) + ((18 − 9) × 4) = 63 + 36 = 99 cm².

  7. 7. An L-shaped figure has outer width 8 cm, outer height 18 cm, vertical arm width 2 cm, and horizontal base height 8 cm. Calculate its total area.

    84 cm²

    Split into two rectangles: (2 × 18) + ((8 − 2) × 8) = 36 + 48 = 84 cm².

  8. 8. An L-shaped figure has outer width 13 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.

    103 cm²

    Split into two rectangles: (4 × 10) + ((13 − 4) × 7) = 40 + 63 = 103 cm².

  9. 9. An L-shaped figure has outer width 14 cm, outer height 11 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.

    112 cm²

    Split into two rectangles: (8 × 11) + ((14 − 8) × 4) = 88 + 24 = 112 cm².

  10. 10. An L-shaped figure has outer width 6 cm, outer height 16 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    68 cm²

    Split into two rectangles: (2 × 16) + ((6 − 2) × 9) = 32 + 36 = 68 cm².

  11. 11. An L-shaped figure has outer width 6 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    38 cm²

    Split into two rectangles: (2 × 15) + ((6 − 2) × 2) = 30 + 8 = 38 cm².

  12. 12. An L-shaped figure has outer width 14 cm, outer height 18 cm, vertical arm width 9 cm, and horizontal base height 7 cm. Calculate its total area.

    197 cm²

    Split into two rectangles: (9 × 18) + ((14 − 9) × 7) = 162 + 35 = 197 cm².

12 questions · Seed 44 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Compound L-shape area

Take your time. Show your thinking.

  1. 1. An L-shaped figure has outer width 14 cm, outer height 16 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 14 cm × 16 cm · Arms: 7 cm & 2 cm

  2. 2. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 4 cm, and horizontal base height 6 cm. Calculate its total area.

    Outer: 14 cm × 12 cm · Arms: 4 cm & 6 cm

  3. 3. An L-shaped figure has outer width 16 cm, outer height 17 cm, vertical arm width 9 cm, and horizontal base height 11 cm. Calculate its total area.

    Outer: 16 cm × 17 cm · Arms: 9 cm & 11 cm

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

    Outer: 7 cm × 11 cm · Arms: 3 cm & 7 cm

  5. 5. An L-shaped figure has outer width 14 cm, outer height 15 cm, vertical arm width 10 cm, and horizontal base height 10 cm. Calculate its total area.

    Outer: 14 cm × 15 cm · Arms: 10 cm & 10 cm

  6. 6. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 18 cm × 7 cm · Arms: 9 cm & 4 cm

  7. 7. An L-shaped figure has outer width 8 cm, outer height 18 cm, vertical arm width 2 cm, and horizontal base height 8 cm. Calculate its total area.

    Outer: 8 cm × 18 cm · Arms: 2 cm & 8 cm

  8. 8. An L-shaped figure has outer width 13 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.

    Outer: 13 cm × 10 cm · Arms: 4 cm & 7 cm

  9. 9. An L-shaped figure has outer width 14 cm, outer height 11 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.

    Outer: 14 cm × 11 cm · Arms: 8 cm & 4 cm

  10. 10. An L-shaped figure has outer width 6 cm, outer height 16 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    Outer: 6 cm × 16 cm · Arms: 2 cm & 9 cm

  11. 11. An L-shaped figure has outer width 6 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    Outer: 6 cm × 15 cm · Arms: 2 cm & 2 cm

  12. 12. An L-shaped figure has outer width 14 cm, outer height 18 cm, vertical arm width 9 cm, and horizontal base height 7 cm. Calculate its total area.

    Outer: 14 cm × 18 cm · Arms: 9 cm & 7 cm
12 questions · Seed 44 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Compound L-shape area

Answers and reasoning. Review before teaching.

  1. 1. An L-shaped figure has outer width 14 cm, outer height 16 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.

    126 cm²

    Split into two rectangles: (7 × 16) + ((14 − 7) × 2) = 112 + 14 = 126 cm².

  2. 2. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 4 cm, and horizontal base height 6 cm. Calculate its total area.

    108 cm²

    Split into two rectangles: (4 × 12) + ((14 − 4) × 6) = 48 + 60 = 108 cm².

  3. 3. An L-shaped figure has outer width 16 cm, outer height 17 cm, vertical arm width 9 cm, and horizontal base height 11 cm. Calculate its total area.

    230 cm²

    Split into two rectangles: (9 × 17) + ((16 − 9) × 11) = 153 + 77 = 230 cm².

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

    61 cm²

    Split into two rectangles: (3 × 11) + ((7 − 3) × 7) = 33 + 28 = 61 cm².

  5. 5. An L-shaped figure has outer width 14 cm, outer height 15 cm, vertical arm width 10 cm, and horizontal base height 10 cm. Calculate its total area.

    190 cm²

    Split into two rectangles: (10 × 15) + ((14 − 10) × 10) = 150 + 40 = 190 cm².

  6. 6. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 4 cm. Calculate its total area.

    99 cm²

    Split into two rectangles: (9 × 7) + ((18 − 9) × 4) = 63 + 36 = 99 cm².

  7. 7. An L-shaped figure has outer width 8 cm, outer height 18 cm, vertical arm width 2 cm, and horizontal base height 8 cm. Calculate its total area.

    84 cm²

    Split into two rectangles: (2 × 18) + ((8 − 2) × 8) = 36 + 48 = 84 cm².

  8. 8. An L-shaped figure has outer width 13 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.

    103 cm²

    Split into two rectangles: (4 × 10) + ((13 − 4) × 7) = 40 + 63 = 103 cm².

  9. 9. An L-shaped figure has outer width 14 cm, outer height 11 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.

    112 cm²

    Split into two rectangles: (8 × 11) + ((14 − 8) × 4) = 88 + 24 = 112 cm².

  10. 10. An L-shaped figure has outer width 6 cm, outer height 16 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.

    68 cm²

    Split into two rectangles: (2 × 16) + ((6 − 2) × 9) = 32 + 36 = 68 cm².

  11. 11. An L-shaped figure has outer width 6 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.

    38 cm²

    Split into two rectangles: (2 × 15) + ((6 − 2) × 2) = 30 + 8 = 38 cm².

  12. 12. An L-shaped figure has outer width 14 cm, outer height 18 cm, vertical arm width 9 cm, and horizontal base height 7 cm. Calculate its total area.

    197 cm²

    Split into two rectangles: (9 × 18) + ((14 − 9) × 7) = 162 + 35 = 197 cm².

12 questions · Seed 44 · Age guidance, not curriculum certification