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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 10 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 10 cm × 7 cm · Arms: 2 cm & 4 cm
2. An L-shaped figure has outer width 9 cm, outer height 11 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 9 cm × 11 cm · Arms: 4 cm & 2 cm
3. An L-shaped figure has outer width 16 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 16 cm × 8 cm · Arms: 3 cm & 3 cm
4. An L-shaped figure has outer width 18 cm, outer height 8 cm, vertical arm width 8 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 18 cm × 8 cm · Arms: 8 cm & 2 cm
5. An L-shaped figure has outer width 18 cm, outer height 18 cm, vertical arm width 10 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 18 cm × 18 cm · Arms: 10 cm & 5 cm
6. An L-shaped figure has outer width 8 cm, outer height 6 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 8 cm × 6 cm · Arms: 4 cm & 3 cm
7. An L-shaped figure has outer width 14 cm, outer height 6 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 14 cm × 6 cm · Arms: 4 cm & 2 cm
8. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 6 cm × 13 cm · Arms: 2 cm & 5 cm
9. An L-shaped figure has outer width 6 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 6 cm × 6 cm · Arms: 2 cm & 2 cm
10. An L-shaped figure has outer width 7 cm, outer height 9 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 7 cm × 9 cm · Arms: 3 cm & 6 cm
11. An L-shaped figure has outer width 15 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 15 cm × 14 cm · Arms: 3 cm & 2 cm
12. An L-shaped figure has outer width 13 cm, outer height 8 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 13 cm × 8 cm · Arms: 10 cm & 4 cm
12 questions · Seed 45 · 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 10 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 4 cm. Calculate its total area.
46 cm² Split into two rectangles: (2 × 7) + ((10 − 2) × 4) = 14 + 32 = 46 cm².
2. An L-shaped figure has outer width 9 cm, outer height 11 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
54 cm² Split into two rectangles: (4 × 11) + ((9 − 4) × 2) = 44 + 10 = 54 cm².
3. An L-shaped figure has outer width 16 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
63 cm² Split into two rectangles: (3 × 8) + ((16 − 3) × 3) = 24 + 39 = 63 cm².
4. An L-shaped figure has outer width 18 cm, outer height 8 cm, vertical arm width 8 cm, and horizontal base height 2 cm. Calculate its total area.
84 cm² Split into two rectangles: (8 × 8) + ((18 − 8) × 2) = 64 + 20 = 84 cm².
5. An L-shaped figure has outer width 18 cm, outer height 18 cm, vertical arm width 10 cm, and horizontal base height 5 cm. Calculate its total area.
220 cm² Split into two rectangles: (10 × 18) + ((18 − 10) × 5) = 180 + 40 = 220 cm².
6. An L-shaped figure has outer width 8 cm, outer height 6 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
36 cm² Split into two rectangles: (4 × 6) + ((8 − 4) × 3) = 24 + 12 = 36 cm².
7. An L-shaped figure has outer width 14 cm, outer height 6 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
44 cm² Split into two rectangles: (4 × 6) + ((14 − 4) × 2) = 24 + 20 = 44 cm².
8. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
46 cm² Split into two rectangles: (2 × 13) + ((6 − 2) × 5) = 26 + 20 = 46 cm².
9. An L-shaped figure has outer width 6 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
20 cm² Split into two rectangles: (2 × 6) + ((6 − 2) × 2) = 12 + 8 = 20 cm².
10. An L-shaped figure has outer width 7 cm, outer height 9 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.
51 cm² Split into two rectangles: (3 × 9) + ((7 − 3) × 6) = 27 + 24 = 51 cm².
11. An L-shaped figure has outer width 15 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
66 cm² Split into two rectangles: (3 × 14) + ((15 − 3) × 2) = 42 + 24 = 66 cm².
12. An L-shaped figure has outer width 13 cm, outer height 8 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.
92 cm² Split into two rectangles: (10 × 8) + ((13 − 10) × 4) = 80 + 12 = 92 cm².
12 questions · Seed 45 · 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 10 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 10 cm × 7 cm · Arms: 2 cm & 4 cm
2. An L-shaped figure has outer width 9 cm, outer height 11 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 9 cm × 11 cm · Arms: 4 cm & 2 cm
3. An L-shaped figure has outer width 16 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 16 cm × 8 cm · Arms: 3 cm & 3 cm
4. An L-shaped figure has outer width 18 cm, outer height 8 cm, vertical arm width 8 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 18 cm × 8 cm · Arms: 8 cm & 2 cm
5. An L-shaped figure has outer width 18 cm, outer height 18 cm, vertical arm width 10 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 18 cm × 18 cm · Arms: 10 cm & 5 cm
6. An L-shaped figure has outer width 8 cm, outer height 6 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 8 cm × 6 cm · Arms: 4 cm & 3 cm
7. An L-shaped figure has outer width 14 cm, outer height 6 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 14 cm × 6 cm · Arms: 4 cm & 2 cm
8. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 6 cm × 13 cm · Arms: 2 cm & 5 cm
9. An L-shaped figure has outer width 6 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 6 cm × 6 cm · Arms: 2 cm & 2 cm
10. An L-shaped figure has outer width 7 cm, outer height 9 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 7 cm × 9 cm · Arms: 3 cm & 6 cm
11. An L-shaped figure has outer width 15 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 15 cm × 14 cm · Arms: 3 cm & 2 cm
12. An L-shaped figure has outer width 13 cm, outer height 8 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 13 cm × 8 cm · Arms: 10 cm & 4 cm
12 questions · Seed 45 · 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 10 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 4 cm. Calculate its total area.
46 cm² Split into two rectangles: (2 × 7) + ((10 − 2) × 4) = 14 + 32 = 46 cm².
2. An L-shaped figure has outer width 9 cm, outer height 11 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
54 cm² Split into two rectangles: (4 × 11) + ((9 − 4) × 2) = 44 + 10 = 54 cm².
3. An L-shaped figure has outer width 16 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
63 cm² Split into two rectangles: (3 × 8) + ((16 − 3) × 3) = 24 + 39 = 63 cm².
4. An L-shaped figure has outer width 18 cm, outer height 8 cm, vertical arm width 8 cm, and horizontal base height 2 cm. Calculate its total area.
84 cm² Split into two rectangles: (8 × 8) + ((18 − 8) × 2) = 64 + 20 = 84 cm².
5. An L-shaped figure has outer width 18 cm, outer height 18 cm, vertical arm width 10 cm, and horizontal base height 5 cm. Calculate its total area.
220 cm² Split into two rectangles: (10 × 18) + ((18 − 10) × 5) = 180 + 40 = 220 cm².
6. An L-shaped figure has outer width 8 cm, outer height 6 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
36 cm² Split into two rectangles: (4 × 6) + ((8 − 4) × 3) = 24 + 12 = 36 cm².
7. An L-shaped figure has outer width 14 cm, outer height 6 cm, vertical arm width 4 cm, and horizontal base height 2 cm. Calculate its total area.
44 cm² Split into two rectangles: (4 × 6) + ((14 − 4) × 2) = 24 + 20 = 44 cm².
8. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
46 cm² Split into two rectangles: (2 × 13) + ((6 − 2) × 5) = 26 + 20 = 46 cm².
9. An L-shaped figure has outer width 6 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
20 cm² Split into two rectangles: (2 × 6) + ((6 − 2) × 2) = 12 + 8 = 20 cm².
10. An L-shaped figure has outer width 7 cm, outer height 9 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.
51 cm² Split into two rectangles: (3 × 9) + ((7 − 3) × 6) = 27 + 24 = 51 cm².
11. An L-shaped figure has outer width 15 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
66 cm² Split into two rectangles: (3 × 14) + ((15 − 3) × 2) = 42 + 24 = 66 cm².
12. An L-shaped figure has outer width 13 cm, outer height 8 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.
92 cm² Split into two rectangles: (10 × 8) + ((13 − 10) × 4) = 80 + 12 = 92 cm².
12 questions · Seed 45 · Age guidance, not curriculum certification
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