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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 13-15
Compound L-shape area Take your time. Show your thinking.
1. An L-shaped figure has outer width 11 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 11 cm × 6 cm · Arms: 6 cm & 3 cm
2. An L-shaped figure has outer width 18 cm, outer height 8 cm, vertical arm width 7 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 18 cm × 8 cm · Arms: 7 cm & 4 cm
3. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 6 cm × 13 cm · Arms: 2 cm & 6 cm
4. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 10 cm × 14 cm · Arms: 4 cm & 5 cm
5. An L-shaped figure has outer width 7 cm, outer height 14 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 7 cm × 14 cm · Arms: 4 cm & 7 cm
6. An L-shaped figure has outer width 13 cm, outer height 10 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 13 cm × 10 cm · Arms: 2 cm & 3 cm
7. An L-shaped figure has outer width 15 cm, outer height 9 cm, vertical arm width 12 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 15 cm × 9 cm · Arms: 12 cm & 2 cm
8. An L-shaped figure has outer width 11 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 11 cm × 10 cm · Arms: 5 cm & 6 cm
9. An L-shaped figure has outer width 17 cm, outer height 15 cm, vertical arm width 7 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 17 cm × 15 cm · Arms: 7 cm & 7 cm
10. An L-shaped figure has outer width 8 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 8 cm × 14 cm · Arms: 3 cm & 3 cm
11. An L-shaped figure has outer width 7 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 10 cm. Calculate its total area.
Outer: 7 cm × 15 cm · Arms: 2 cm & 10 cm
12. An L-shaped figure has outer width 8 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 8 cm × 10 cm · Arms: 5 cm & 7 cm
12 questions · Seed 48 · Age guidance, not curriculum certification
View the answer key Worksheet Studio Answer key · Ages 13-15
Compound L-shape area Answers and reasoning. Review before teaching.
1. An L-shaped figure has outer width 11 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
51 cm² Split into two rectangles: (6 × 6) + ((11 − 6) × 3) = 36 + 15 = 51 cm².
2. An L-shaped figure has outer width 18 cm, outer height 8 cm, vertical arm width 7 cm, and horizontal base height 4 cm. Calculate its total area.
100 cm² Split into two rectangles: (7 × 8) + ((18 − 7) × 4) = 56 + 44 = 100 cm².
3. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
50 cm² Split into two rectangles: (2 × 13) + ((6 − 2) × 6) = 26 + 24 = 50 cm².
4. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
86 cm² Split into two rectangles: (4 × 14) + ((10 − 4) × 5) = 56 + 30 = 86 cm².
5. An L-shaped figure has outer width 7 cm, outer height 14 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.
77 cm² Split into two rectangles: (4 × 14) + ((7 − 4) × 7) = 56 + 21 = 77 cm².
6. An L-shaped figure has outer width 13 cm, outer height 10 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.
53 cm² Split into two rectangles: (2 × 10) + ((13 − 2) × 3) = 20 + 33 = 53 cm².
7. An L-shaped figure has outer width 15 cm, outer height 9 cm, vertical arm width 12 cm, and horizontal base height 2 cm. Calculate its total area.
114 cm² Split into two rectangles: (12 × 9) + ((15 − 12) × 2) = 108 + 6 = 114 cm².
8. An L-shaped figure has outer width 11 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
86 cm² Split into two rectangles: (5 × 10) + ((11 − 5) × 6) = 50 + 36 = 86 cm².
9. An L-shaped figure has outer width 17 cm, outer height 15 cm, vertical arm width 7 cm, and horizontal base height 7 cm. Calculate its total area.
175 cm² Split into two rectangles: (7 × 15) + ((17 − 7) × 7) = 105 + 70 = 175 cm².
10. An L-shaped figure has outer width 8 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
57 cm² Split into two rectangles: (3 × 14) + ((8 − 3) × 3) = 42 + 15 = 57 cm².
11. An L-shaped figure has outer width 7 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 10 cm. Calculate its total area.
80 cm² Split into two rectangles: (2 × 15) + ((7 − 2) × 10) = 30 + 50 = 80 cm².
12. An L-shaped figure has outer width 8 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 7 cm. Calculate its total area.
71 cm² Split into two rectangles: (5 × 10) + ((8 − 5) × 7) = 50 + 21 = 71 cm².
12 questions · Seed 48 · Age guidance, not curriculum certification
Worksheet Studio Practice pack · Ages 13-15
Compound L-shape area Take your time. Show your thinking.
1. An L-shaped figure has outer width 11 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 11 cm × 6 cm · Arms: 6 cm & 3 cm
2. An L-shaped figure has outer width 18 cm, outer height 8 cm, vertical arm width 7 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 18 cm × 8 cm · Arms: 7 cm & 4 cm
3. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 6 cm × 13 cm · Arms: 2 cm & 6 cm
4. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 10 cm × 14 cm · Arms: 4 cm & 5 cm
5. An L-shaped figure has outer width 7 cm, outer height 14 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 7 cm × 14 cm · Arms: 4 cm & 7 cm
6. An L-shaped figure has outer width 13 cm, outer height 10 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 13 cm × 10 cm · Arms: 2 cm & 3 cm
7. An L-shaped figure has outer width 15 cm, outer height 9 cm, vertical arm width 12 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 15 cm × 9 cm · Arms: 12 cm & 2 cm
8. An L-shaped figure has outer width 11 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 11 cm × 10 cm · Arms: 5 cm & 6 cm
9. An L-shaped figure has outer width 17 cm, outer height 15 cm, vertical arm width 7 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 17 cm × 15 cm · Arms: 7 cm & 7 cm
10. An L-shaped figure has outer width 8 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 8 cm × 14 cm · Arms: 3 cm & 3 cm
11. An L-shaped figure has outer width 7 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 10 cm. Calculate its total area.
Outer: 7 cm × 15 cm · Arms: 2 cm & 10 cm
12. An L-shaped figure has outer width 8 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 8 cm × 10 cm · Arms: 5 cm & 7 cm
12 questions · Seed 48 · Age guidance, not curriculum certification
Worksheet Studio Answer key · Ages 13-15
Compound L-shape area Answers and reasoning. Review before teaching.
1. An L-shaped figure has outer width 11 cm, outer height 6 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
51 cm² Split into two rectangles: (6 × 6) + ((11 − 6) × 3) = 36 + 15 = 51 cm².
2. An L-shaped figure has outer width 18 cm, outer height 8 cm, vertical arm width 7 cm, and horizontal base height 4 cm. Calculate its total area.
100 cm² Split into two rectangles: (7 × 8) + ((18 − 7) × 4) = 56 + 44 = 100 cm².
3. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
50 cm² Split into two rectangles: (2 × 13) + ((6 − 2) × 6) = 26 + 24 = 50 cm².
4. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
86 cm² Split into two rectangles: (4 × 14) + ((10 − 4) × 5) = 56 + 30 = 86 cm².
5. An L-shaped figure has outer width 7 cm, outer height 14 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.
77 cm² Split into two rectangles: (4 × 14) + ((7 − 4) × 7) = 56 + 21 = 77 cm².
6. An L-shaped figure has outer width 13 cm, outer height 10 cm, vertical arm width 2 cm, and horizontal base height 3 cm. Calculate its total area.
53 cm² Split into two rectangles: (2 × 10) + ((13 − 2) × 3) = 20 + 33 = 53 cm².
7. An L-shaped figure has outer width 15 cm, outer height 9 cm, vertical arm width 12 cm, and horizontal base height 2 cm. Calculate its total area.
114 cm² Split into two rectangles: (12 × 9) + ((15 − 12) × 2) = 108 + 6 = 114 cm².
8. An L-shaped figure has outer width 11 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
86 cm² Split into two rectangles: (5 × 10) + ((11 − 5) × 6) = 50 + 36 = 86 cm².
9. An L-shaped figure has outer width 17 cm, outer height 15 cm, vertical arm width 7 cm, and horizontal base height 7 cm. Calculate its total area.
175 cm² Split into two rectangles: (7 × 15) + ((17 − 7) × 7) = 105 + 70 = 175 cm².
10. An L-shaped figure has outer width 8 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
57 cm² Split into two rectangles: (3 × 14) + ((8 − 3) × 3) = 42 + 15 = 57 cm².
11. An L-shaped figure has outer width 7 cm, outer height 15 cm, vertical arm width 2 cm, and horizontal base height 10 cm. Calculate its total area.
80 cm² Split into two rectangles: (2 × 15) + ((7 − 2) × 10) = 30 + 50 = 80 cm².
12. An L-shaped figure has outer width 8 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 7 cm. Calculate its total area.
71 cm² Split into two rectangles: (5 × 10) + ((8 − 5) × 7) = 50 + 21 = 71 cm².
12 questions · Seed 48 · Age guidance, not curriculum certification
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