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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.
Student worksheet Answer key
Worksheet Studio Practice pack · Ages 10-12
Compound L-shape area Take your time. Show your thinking.
1. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 7 cm × 16 cm · Arms: 3 cm & 8 cm
2. An L-shaped figure has outer width 9 cm, outer height 18 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 9 cm × 18 cm · Arms: 4 cm & 2 cm
3. An L-shaped figure has outer width 17 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 6 cm · Arms: 6 cm & 2 cm
4. An L-shaped figure has outer width 13 cm, outer height 12 cm, vertical arm width 8 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 13 cm × 12 cm · Arms: 8 cm & 5 cm
5. An L-shaped figure has outer width 17 cm, outer height 11 cm, vertical arm width 14 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 17 cm × 11 cm · Arms: 14 cm & 8 cm
6. An L-shaped figure has outer width 9 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 9 cm × 16 cm · Arms: 3 cm & 3 cm
7. An L-shaped figure has outer width 10 cm, outer height 15 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 10 cm × 15 cm · Arms: 3 cm & 2 cm
8. An L-shaped figure has outer width 8 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 8 cm × 8 cm · Arms: 3 cm & 4 cm
9. An L-shaped figure has outer width 9 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 9 cm × 7 cm · Arms: 4 cm & 3 cm
10. An L-shaped figure has outer width 12 cm, outer height 17 cm, vertical arm width 3 cm, and horizontal base height 13 cm. Calculate its total area.
Outer: 12 cm × 17 cm · Arms: 3 cm & 13 cm
11. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 13 cm × 7 cm · Arms: 9 cm & 4 cm
12. An L-shaped figure has outer width 18 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 18 cm × 6 cm · Arms: 6 cm & 3 cm
12 questions · Seed 104732 · Age guidance, not curriculum certification
View the answer key Worksheet Studio Answer key · Ages 10-12
Compound L-shape area Answers and reasoning. Review before teaching.
1. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
80 cm² Split into two rectangles: (3 × 16) + ((7 − 3) × 8) = 48 + 32 = 80 cm².
2. An L-shaped figure has outer width 9 cm, outer height 18 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
82 cm² Split into two rectangles: (4 × 18) + ((9 − 4) × 2) = 72 + 10 = 82 cm².
3. An L-shaped figure has outer width 17 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 2 cm. Calculate its total area.
58 cm² Split into two rectangles: (6 × 6) + ((17 − 6) × 2) = 36 + 22 = 58 cm².
4. An L-shaped figure has outer width 13 cm, outer height 12 cm, vertical arm width 8 cm, and horizontal base height 5 cm. Calculate its total area.
121 cm² Split into two rectangles: (8 × 12) + ((13 − 8) × 5) = 96 + 25 = 121 cm².
5. An L-shaped figure has outer width 17 cm, outer height 11 cm, vertical arm width 14 cm, and horizontal base height 8 cm. Calculate its total area.
178 cm² Split into two rectangles: (14 × 11) + ((17 − 14) × 8) = 154 + 24 = 178 cm².
6. An L-shaped figure has outer width 9 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
66 cm² Split into two rectangles: (3 × 16) + ((9 − 3) × 3) = 48 + 18 = 66 cm².
7. An L-shaped figure has outer width 10 cm, outer height 15 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
59 cm² Split into two rectangles: (3 × 15) + ((10 − 3) × 2) = 45 + 14 = 59 cm².
8. An L-shaped figure has outer width 8 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.
44 cm² Split into two rectangles: (3 × 8) + ((8 − 3) × 4) = 24 + 20 = 44 cm².
9. An L-shaped figure has outer width 9 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
43 cm² Split into two rectangles: (4 × 7) + ((9 − 4) × 3) = 28 + 15 = 43 cm².
10. An L-shaped figure has outer width 12 cm, outer height 17 cm, vertical arm width 3 cm, and horizontal base height 13 cm. Calculate its total area.
168 cm² Split into two rectangles: (3 × 17) + ((12 − 3) × 13) = 51 + 117 = 168 cm².
11. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 4 cm. Calculate its total area.
79 cm² Split into two rectangles: (9 × 7) + ((13 − 9) × 4) = 63 + 16 = 79 cm².
12. An L-shaped figure has outer width 18 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
72 cm² Split into two rectangles: (6 × 6) + ((18 − 6) × 3) = 36 + 36 = 72 cm².
12 questions · Seed 104732 · Age guidance, not curriculum certification
Worksheet Studio Practice pack · Ages 10-12
Compound L-shape area Take your time. Show your thinking.
1. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 7 cm × 16 cm · Arms: 3 cm & 8 cm
2. An L-shaped figure has outer width 9 cm, outer height 18 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 9 cm × 18 cm · Arms: 4 cm & 2 cm
3. An L-shaped figure has outer width 17 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 6 cm · Arms: 6 cm & 2 cm
4. An L-shaped figure has outer width 13 cm, outer height 12 cm, vertical arm width 8 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 13 cm × 12 cm · Arms: 8 cm & 5 cm
5. An L-shaped figure has outer width 17 cm, outer height 11 cm, vertical arm width 14 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 17 cm × 11 cm · Arms: 14 cm & 8 cm
6. An L-shaped figure has outer width 9 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 9 cm × 16 cm · Arms: 3 cm & 3 cm
7. An L-shaped figure has outer width 10 cm, outer height 15 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 10 cm × 15 cm · Arms: 3 cm & 2 cm
8. An L-shaped figure has outer width 8 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 8 cm × 8 cm · Arms: 3 cm & 4 cm
9. An L-shaped figure has outer width 9 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 9 cm × 7 cm · Arms: 4 cm & 3 cm
10. An L-shaped figure has outer width 12 cm, outer height 17 cm, vertical arm width 3 cm, and horizontal base height 13 cm. Calculate its total area.
Outer: 12 cm × 17 cm · Arms: 3 cm & 13 cm
11. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 13 cm × 7 cm · Arms: 9 cm & 4 cm
12. An L-shaped figure has outer width 18 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 18 cm × 6 cm · Arms: 6 cm & 3 cm
12 questions · Seed 104732 · Age guidance, not curriculum certification
Worksheet Studio Answer key · Ages 10-12
Compound L-shape area Answers and reasoning. Review before teaching.
1. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
80 cm² Split into two rectangles: (3 × 16) + ((7 − 3) × 8) = 48 + 32 = 80 cm².
2. An L-shaped figure has outer width 9 cm, outer height 18 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
82 cm² Split into two rectangles: (4 × 18) + ((9 − 4) × 2) = 72 + 10 = 82 cm².
3. An L-shaped figure has outer width 17 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 2 cm. Calculate its total area.
58 cm² Split into two rectangles: (6 × 6) + ((17 − 6) × 2) = 36 + 22 = 58 cm².
4. An L-shaped figure has outer width 13 cm, outer height 12 cm, vertical arm width 8 cm, and horizontal base height 5 cm. Calculate its total area.
121 cm² Split into two rectangles: (8 × 12) + ((13 − 8) × 5) = 96 + 25 = 121 cm².
5. An L-shaped figure has outer width 17 cm, outer height 11 cm, vertical arm width 14 cm, and horizontal base height 8 cm. Calculate its total area.
178 cm² Split into two rectangles: (14 × 11) + ((17 − 14) × 8) = 154 + 24 = 178 cm².
6. An L-shaped figure has outer width 9 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
66 cm² Split into two rectangles: (3 × 16) + ((9 − 3) × 3) = 48 + 18 = 66 cm².
7. An L-shaped figure has outer width 10 cm, outer height 15 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
59 cm² Split into two rectangles: (3 × 15) + ((10 − 3) × 2) = 45 + 14 = 59 cm².
8. An L-shaped figure has outer width 8 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.
44 cm² Split into two rectangles: (3 × 8) + ((8 − 3) × 4) = 24 + 20 = 44 cm².
9. An L-shaped figure has outer width 9 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
43 cm² Split into two rectangles: (4 × 7) + ((9 − 4) × 3) = 28 + 15 = 43 cm².
10. An L-shaped figure has outer width 12 cm, outer height 17 cm, vertical arm width 3 cm, and horizontal base height 13 cm. Calculate its total area.
168 cm² Split into two rectangles: (3 × 17) + ((12 − 3) × 13) = 51 + 117 = 168 cm².
11. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 4 cm. Calculate its total area.
79 cm² Split into two rectangles: (9 × 7) + ((13 − 9) × 4) = 63 + 16 = 79 cm².
12. An L-shaped figure has outer width 18 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
72 cm² Split into two rectangles: (6 × 6) + ((18 − 6) × 3) = 36 + 36 = 72 cm².
12 questions · Seed 104732 · Age guidance, not curriculum certification
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