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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 10 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 10 cm × 10 cm · Arms: 5 cm & 6 cm
2. An L-shaped figure has outer width 14 cm, outer height 13 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 14 cm × 13 cm · Arms: 9 cm & 3 cm
3. An L-shaped figure has outer width 9 cm, outer height 11 cm, vertical arm width 4 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 9 cm × 11 cm · Arms: 4 cm & 6 cm
4. An L-shaped figure has outer width 14 cm, outer height 16 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 14 cm × 16 cm · Arms: 5 cm & 3 cm
5. An L-shaped figure has outer width 11 cm, outer height 13 cm, vertical arm width 6 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 11 cm × 13 cm · Arms: 6 cm & 7 cm
6. An L-shaped figure has outer width 7 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 7 cm × 8 cm · Arms: 3 cm & 2 cm
7. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 10 cm × 14 cm · Arms: 5 cm & 4 cm
8. An L-shaped figure has outer width 8 cm, outer height 13 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 8 cm × 13 cm · Arms: 5 cm & 8 cm
9. An L-shaped figure has outer width 9 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 9 cm × 16 cm · Arms: 3 cm & 8 cm
10. An L-shaped figure has outer width 13 cm, outer height 8 cm, vertical arm width 8 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 13 cm × 8 cm · Arms: 8 cm & 2 cm
11. An L-shaped figure has outer width 12 cm, outer height 8 cm, vertical arm width 7 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 12 cm × 8 cm · Arms: 7 cm & 5 cm
12. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 11 cm × 18 cm · Arms: 6 cm & 4 cm
12 questions · Seed 104734 · 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 10 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
80 cm² Split into two rectangles: (5 × 10) + ((10 − 5) × 6) = 50 + 30 = 80 cm².
2. An L-shaped figure has outer width 14 cm, outer height 13 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
132 cm² Split into two rectangles: (9 × 13) + ((14 − 9) × 3) = 117 + 15 = 132 cm².
3. An L-shaped figure has outer width 9 cm, outer height 11 cm, vertical arm width 4 cm, and horizontal base height 6 cm. Calculate its total area.
74 cm² Split into two rectangles: (4 × 11) + ((9 − 4) × 6) = 44 + 30 = 74 cm².
4. An L-shaped figure has outer width 14 cm, outer height 16 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.
107 cm² Split into two rectangles: (5 × 16) + ((14 − 5) × 3) = 80 + 27 = 107 cm².
5. An L-shaped figure has outer width 11 cm, outer height 13 cm, vertical arm width 6 cm, and horizontal base height 7 cm. Calculate its total area.
113 cm² Split into two rectangles: (6 × 13) + ((11 − 6) × 7) = 78 + 35 = 113 cm².
6. An L-shaped figure has outer width 7 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
32 cm² Split into two rectangles: (3 × 8) + ((7 − 3) × 2) = 24 + 8 = 32 cm².
7. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
90 cm² Split into two rectangles: (5 × 14) + ((10 − 5) × 4) = 70 + 20 = 90 cm².
8. An L-shaped figure has outer width 8 cm, outer height 13 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.
89 cm² Split into two rectangles: (5 × 13) + ((8 − 5) × 8) = 65 + 24 = 89 cm².
9. An L-shaped figure has outer width 9 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
96 cm² Split into two rectangles: (3 × 16) + ((9 − 3) × 8) = 48 + 48 = 96 cm².
10. An L-shaped figure has outer width 13 cm, outer height 8 cm, vertical arm width 8 cm, and horizontal base height 2 cm. Calculate its total area.
74 cm² Split into two rectangles: (8 × 8) + ((13 − 8) × 2) = 64 + 10 = 74 cm².
11. An L-shaped figure has outer width 12 cm, outer height 8 cm, vertical arm width 7 cm, and horizontal base height 5 cm. Calculate its total area.
81 cm² Split into two rectangles: (7 × 8) + ((12 − 7) × 5) = 56 + 25 = 81 cm².
12. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 4 cm. Calculate its total area.
128 cm² Split into two rectangles: (6 × 18) + ((11 − 6) × 4) = 108 + 20 = 128 cm².
12 questions · Seed 104734 · 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 10 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 10 cm × 10 cm · Arms: 5 cm & 6 cm
2. An L-shaped figure has outer width 14 cm, outer height 13 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 14 cm × 13 cm · Arms: 9 cm & 3 cm
3. An L-shaped figure has outer width 9 cm, outer height 11 cm, vertical arm width 4 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 9 cm × 11 cm · Arms: 4 cm & 6 cm
4. An L-shaped figure has outer width 14 cm, outer height 16 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 14 cm × 16 cm · Arms: 5 cm & 3 cm
5. An L-shaped figure has outer width 11 cm, outer height 13 cm, vertical arm width 6 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 11 cm × 13 cm · Arms: 6 cm & 7 cm
6. An L-shaped figure has outer width 7 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 7 cm × 8 cm · Arms: 3 cm & 2 cm
7. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 10 cm × 14 cm · Arms: 5 cm & 4 cm
8. An L-shaped figure has outer width 8 cm, outer height 13 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 8 cm × 13 cm · Arms: 5 cm & 8 cm
9. An L-shaped figure has outer width 9 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 9 cm × 16 cm · Arms: 3 cm & 8 cm
10. An L-shaped figure has outer width 13 cm, outer height 8 cm, vertical arm width 8 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 13 cm × 8 cm · Arms: 8 cm & 2 cm
11. An L-shaped figure has outer width 12 cm, outer height 8 cm, vertical arm width 7 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 12 cm × 8 cm · Arms: 7 cm & 5 cm
12. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 11 cm × 18 cm · Arms: 6 cm & 4 cm
12 questions · Seed 104734 · 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 10 cm, outer height 10 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
80 cm² Split into two rectangles: (5 × 10) + ((10 − 5) × 6) = 50 + 30 = 80 cm².
2. An L-shaped figure has outer width 14 cm, outer height 13 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
132 cm² Split into two rectangles: (9 × 13) + ((14 − 9) × 3) = 117 + 15 = 132 cm².
3. An L-shaped figure has outer width 9 cm, outer height 11 cm, vertical arm width 4 cm, and horizontal base height 6 cm. Calculate its total area.
74 cm² Split into two rectangles: (4 × 11) + ((9 − 4) × 6) = 44 + 30 = 74 cm².
4. An L-shaped figure has outer width 14 cm, outer height 16 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.
107 cm² Split into two rectangles: (5 × 16) + ((14 − 5) × 3) = 80 + 27 = 107 cm².
5. An L-shaped figure has outer width 11 cm, outer height 13 cm, vertical arm width 6 cm, and horizontal base height 7 cm. Calculate its total area.
113 cm² Split into two rectangles: (6 × 13) + ((11 − 6) × 7) = 78 + 35 = 113 cm².
6. An L-shaped figure has outer width 7 cm, outer height 8 cm, vertical arm width 3 cm, and horizontal base height 2 cm. Calculate its total area.
32 cm² Split into two rectangles: (3 × 8) + ((7 − 3) × 2) = 24 + 8 = 32 cm².
7. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
90 cm² Split into two rectangles: (5 × 14) + ((10 − 5) × 4) = 70 + 20 = 90 cm².
8. An L-shaped figure has outer width 8 cm, outer height 13 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.
89 cm² Split into two rectangles: (5 × 13) + ((8 − 5) × 8) = 65 + 24 = 89 cm².
9. An L-shaped figure has outer width 9 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
96 cm² Split into two rectangles: (3 × 16) + ((9 − 3) × 8) = 48 + 48 = 96 cm².
10. An L-shaped figure has outer width 13 cm, outer height 8 cm, vertical arm width 8 cm, and horizontal base height 2 cm. Calculate its total area.
74 cm² Split into two rectangles: (8 × 8) + ((13 − 8) × 2) = 64 + 10 = 74 cm².
11. An L-shaped figure has outer width 12 cm, outer height 8 cm, vertical arm width 7 cm, and horizontal base height 5 cm. Calculate its total area.
81 cm² Split into two rectangles: (7 × 8) + ((12 − 7) × 5) = 56 + 25 = 81 cm².
12. An L-shaped figure has outer width 11 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 4 cm. Calculate its total area.
128 cm² Split into two rectangles: (6 × 18) + ((11 − 6) × 4) = 108 + 20 = 128 cm².
12 questions · Seed 104734 · Age guidance, not curriculum certification
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