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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 17 cm, outer height 6 cm, vertical arm width 9 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 6 cm · Arms: 9 cm & 2 cm
2. An L-shaped figure has outer width 11 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 11 cm × 9 cm · Arms: 5 cm & 6 cm
3. An L-shaped figure has outer width 6 cm, outer height 11 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 6 cm × 11 cm · Arms: 3 cm & 6 cm
4. An L-shaped figure has outer width 9 cm, outer height 7 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 9 cm × 7 cm · Arms: 5 cm & 4 cm
5. An L-shaped figure has outer width 11 cm, outer height 8 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 11 cm × 8 cm · Arms: 4 cm & 5 cm
6. An L-shaped figure has outer width 9 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 9 cm × 18 cm · Arms: 3 cm & 9 cm
7. An L-shaped figure has outer width 6 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 6 cm × 6 cm · Arms: 2 cm & 3 cm
8. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 14 cm × 14 cm · Arms: 2 cm & 9 cm
9. An L-shaped figure has outer width 6 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 6 cm × 7 cm · Arms: 2 cm & 2 cm
10. An L-shaped figure has outer width 7 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 7 cm × 7 cm · Arms: 4 cm & 3 cm
11. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 14 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 18 cm × 7 cm · Arms: 14 cm & 4 cm
12. An L-shaped figure has outer width 7 cm, outer height 17 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 7 cm × 17 cm · Arms: 2 cm & 9 cm
12 questions · Seed 104733 · 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 17 cm, outer height 6 cm, vertical arm width 9 cm, and horizontal base height 2 cm. Calculate its total area.
70 cm² Split into two rectangles: (9 × 6) + ((17 − 9) × 2) = 54 + 16 = 70 cm².
2. An L-shaped figure has outer width 11 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
81 cm² Split into two rectangles: (5 × 9) + ((11 − 5) × 6) = 45 + 36 = 81 cm².
3. An L-shaped figure has outer width 6 cm, outer height 11 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.
51 cm² Split into two rectangles: (3 × 11) + ((6 − 3) × 6) = 33 + 18 = 51 cm².
4. An L-shaped figure has outer width 9 cm, outer height 7 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
51 cm² Split into two rectangles: (5 × 7) + ((9 − 5) × 4) = 35 + 16 = 51 cm².
5. An L-shaped figure has outer width 11 cm, outer height 8 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
67 cm² Split into two rectangles: (4 × 8) + ((11 − 4) × 5) = 32 + 35 = 67 cm².
6. An L-shaped figure has outer width 9 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 9 cm. Calculate its total area.
108 cm² Split into two rectangles: (3 × 18) + ((9 − 3) × 9) = 54 + 54 = 108 cm².
7. An L-shaped figure has outer width 6 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.
24 cm² Split into two rectangles: (2 × 6) + ((6 − 2) × 3) = 12 + 12 = 24 cm².
8. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.
136 cm² Split into two rectangles: (2 × 14) + ((14 − 2) × 9) = 28 + 108 = 136 cm².
9. An L-shaped figure has outer width 6 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
22 cm² Split into two rectangles: (2 × 7) + ((6 − 2) × 2) = 14 + 8 = 22 cm².
10. An L-shaped figure has outer width 7 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
37 cm² Split into two rectangles: (4 × 7) + ((7 − 4) × 3) = 28 + 9 = 37 cm².
11. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 14 cm, and horizontal base height 4 cm. Calculate its total area.
114 cm² Split into two rectangles: (14 × 7) + ((18 − 14) × 4) = 98 + 16 = 114 cm².
12. An L-shaped figure has outer width 7 cm, outer height 17 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.
79 cm² Split into two rectangles: (2 × 17) + ((7 − 2) × 9) = 34 + 45 = 79 cm².
12 questions · Seed 104733 · 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 17 cm, outer height 6 cm, vertical arm width 9 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 6 cm · Arms: 9 cm & 2 cm
2. An L-shaped figure has outer width 11 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 11 cm × 9 cm · Arms: 5 cm & 6 cm
3. An L-shaped figure has outer width 6 cm, outer height 11 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 6 cm × 11 cm · Arms: 3 cm & 6 cm
4. An L-shaped figure has outer width 9 cm, outer height 7 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 9 cm × 7 cm · Arms: 5 cm & 4 cm
5. An L-shaped figure has outer width 11 cm, outer height 8 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 11 cm × 8 cm · Arms: 4 cm & 5 cm
6. An L-shaped figure has outer width 9 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 9 cm × 18 cm · Arms: 3 cm & 9 cm
7. An L-shaped figure has outer width 6 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 6 cm × 6 cm · Arms: 2 cm & 3 cm
8. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 14 cm × 14 cm · Arms: 2 cm & 9 cm
9. An L-shaped figure has outer width 6 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 6 cm × 7 cm · Arms: 2 cm & 2 cm
10. An L-shaped figure has outer width 7 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 7 cm × 7 cm · Arms: 4 cm & 3 cm
11. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 14 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 18 cm × 7 cm · Arms: 14 cm & 4 cm
12. An L-shaped figure has outer width 7 cm, outer height 17 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 7 cm × 17 cm · Arms: 2 cm & 9 cm
12 questions · Seed 104733 · 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 17 cm, outer height 6 cm, vertical arm width 9 cm, and horizontal base height 2 cm. Calculate its total area.
70 cm² Split into two rectangles: (9 × 6) + ((17 − 9) × 2) = 54 + 16 = 70 cm².
2. An L-shaped figure has outer width 11 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
81 cm² Split into two rectangles: (5 × 9) + ((11 − 5) × 6) = 45 + 36 = 81 cm².
3. An L-shaped figure has outer width 6 cm, outer height 11 cm, vertical arm width 3 cm, and horizontal base height 6 cm. Calculate its total area.
51 cm² Split into two rectangles: (3 × 11) + ((6 − 3) × 6) = 33 + 18 = 51 cm².
4. An L-shaped figure has outer width 9 cm, outer height 7 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
51 cm² Split into two rectangles: (5 × 7) + ((9 − 5) × 4) = 35 + 16 = 51 cm².
5. An L-shaped figure has outer width 11 cm, outer height 8 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
67 cm² Split into two rectangles: (4 × 8) + ((11 − 4) × 5) = 32 + 35 = 67 cm².
6. An L-shaped figure has outer width 9 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 9 cm. Calculate its total area.
108 cm² Split into two rectangles: (3 × 18) + ((9 − 3) × 9) = 54 + 54 = 108 cm².
7. An L-shaped figure has outer width 6 cm, outer height 6 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.
24 cm² Split into two rectangles: (2 × 6) + ((6 − 2) × 3) = 12 + 12 = 24 cm².
8. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.
136 cm² Split into two rectangles: (2 × 14) + ((14 − 2) × 9) = 28 + 108 = 136 cm².
9. An L-shaped figure has outer width 6 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
22 cm² Split into two rectangles: (2 × 7) + ((6 − 2) × 2) = 14 + 8 = 22 cm².
10. An L-shaped figure has outer width 7 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
37 cm² Split into two rectangles: (4 × 7) + ((7 − 4) × 3) = 28 + 9 = 37 cm².
11. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 14 cm, and horizontal base height 4 cm. Calculate its total area.
114 cm² Split into two rectangles: (14 × 7) + ((18 − 14) × 4) = 98 + 16 = 114 cm².
12. An L-shaped figure has outer width 7 cm, outer height 17 cm, vertical arm width 2 cm, and horizontal base height 9 cm. Calculate its total area.
79 cm² Split into two rectangles: (2 × 17) + ((7 − 2) × 9) = 34 + 45 = 79 cm².
12 questions · Seed 104733 · Age guidance, not curriculum certification
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