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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 13 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 10 cm × 13 cm · Arms: 3 cm & 5 cm
2. An L-shaped figure has outer width 15 cm, outer height 16 cm, vertical arm width 12 cm, and horizontal base height 11 cm. Calculate its total area.
Outer: 15 cm × 16 cm · Arms: 12 cm & 11 cm
3. An L-shaped figure has outer width 17 cm, outer height 9 cm, vertical arm width 9 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 9 cm · Arms: 9 cm & 2 cm
4. An L-shaped figure has outer width 17 cm, outer height 14 cm, vertical arm width 11 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 14 cm · Arms: 11 cm & 2 cm
5. An L-shaped figure has outer width 17 cm, outer height 11 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 17 cm × 11 cm · Arms: 2 cm & 5 cm
6. An L-shaped figure has outer width 15 cm, outer height 18 cm, vertical arm width 5 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 15 cm × 18 cm · Arms: 5 cm & 5 cm
7. An L-shaped figure has outer width 18 cm, outer height 9 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 18 cm × 9 cm · Arms: 9 cm & 3 cm
8. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 6 cm × 13 cm · Arms: 3 cm & 7 cm
9. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 18 cm × 7 cm · Arms: 9 cm & 3 cm
10. An L-shaped figure has outer width 9 cm, outer height 15 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 9 cm × 15 cm · Arms: 6 cm & 3 cm
11. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 14 cm × 14 cm · Arms: 6 cm & 3 cm
12. An L-shaped figure has outer width 8 cm, outer height 14 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 8 cm × 14 cm · Arms: 5 cm & 3 cm
12 questions · Seed 104731 · 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 13 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
74 cm² Split into two rectangles: (3 × 13) + ((10 − 3) × 5) = 39 + 35 = 74 cm².
2. An L-shaped figure has outer width 15 cm, outer height 16 cm, vertical arm width 12 cm, and horizontal base height 11 cm. Calculate its total area.
225 cm² Split into two rectangles: (12 × 16) + ((15 − 12) × 11) = 192 + 33 = 225 cm².
3. An L-shaped figure has outer width 17 cm, outer height 9 cm, vertical arm width 9 cm, and horizontal base height 2 cm. Calculate its total area.
97 cm² Split into two rectangles: (9 × 9) + ((17 − 9) × 2) = 81 + 16 = 97 cm².
4. An L-shaped figure has outer width 17 cm, outer height 14 cm, vertical arm width 11 cm, and horizontal base height 2 cm. Calculate its total area.
166 cm² Split into two rectangles: (11 × 14) + ((17 − 11) × 2) = 154 + 12 = 166 cm².
5. An L-shaped figure has outer width 17 cm, outer height 11 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
97 cm² Split into two rectangles: (2 × 11) + ((17 − 2) × 5) = 22 + 75 = 97 cm².
6. An L-shaped figure has outer width 15 cm, outer height 18 cm, vertical arm width 5 cm, and horizontal base height 5 cm. Calculate its total area.
140 cm² Split into two rectangles: (5 × 18) + ((15 − 5) × 5) = 90 + 50 = 140 cm².
7. An L-shaped figure has outer width 18 cm, outer height 9 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
108 cm² Split into two rectangles: (9 × 9) + ((18 − 9) × 3) = 81 + 27 = 108 cm².
8. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 7 cm. Calculate its total area.
60 cm² Split into two rectangles: (3 × 13) + ((6 − 3) × 7) = 39 + 21 = 60 cm².
9. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
90 cm² Split into two rectangles: (9 × 7) + ((18 − 9) × 3) = 63 + 27 = 90 cm².
10. An L-shaped figure has outer width 9 cm, outer height 15 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
99 cm² Split into two rectangles: (6 × 15) + ((9 − 6) × 3) = 90 + 9 = 99 cm².
11. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
108 cm² Split into two rectangles: (6 × 14) + ((14 − 6) × 3) = 84 + 24 = 108 cm².
12. An L-shaped figure has outer width 8 cm, outer height 14 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.
79 cm² Split into two rectangles: (5 × 14) + ((8 − 5) × 3) = 70 + 9 = 79 cm².
12 questions · Seed 104731 · 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 13 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 10 cm × 13 cm · Arms: 3 cm & 5 cm
2. An L-shaped figure has outer width 15 cm, outer height 16 cm, vertical arm width 12 cm, and horizontal base height 11 cm. Calculate its total area.
Outer: 15 cm × 16 cm · Arms: 12 cm & 11 cm
3. An L-shaped figure has outer width 17 cm, outer height 9 cm, vertical arm width 9 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 9 cm · Arms: 9 cm & 2 cm
4. An L-shaped figure has outer width 17 cm, outer height 14 cm, vertical arm width 11 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 14 cm · Arms: 11 cm & 2 cm
5. An L-shaped figure has outer width 17 cm, outer height 11 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 17 cm × 11 cm · Arms: 2 cm & 5 cm
6. An L-shaped figure has outer width 15 cm, outer height 18 cm, vertical arm width 5 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 15 cm × 18 cm · Arms: 5 cm & 5 cm
7. An L-shaped figure has outer width 18 cm, outer height 9 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 18 cm × 9 cm · Arms: 9 cm & 3 cm
8. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 6 cm × 13 cm · Arms: 3 cm & 7 cm
9. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 18 cm × 7 cm · Arms: 9 cm & 3 cm
10. An L-shaped figure has outer width 9 cm, outer height 15 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 9 cm × 15 cm · Arms: 6 cm & 3 cm
11. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 14 cm × 14 cm · Arms: 6 cm & 3 cm
12. An L-shaped figure has outer width 8 cm, outer height 14 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 8 cm × 14 cm · Arms: 5 cm & 3 cm
12 questions · Seed 104731 · 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 13 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
74 cm² Split into two rectangles: (3 × 13) + ((10 − 3) × 5) = 39 + 35 = 74 cm².
2. An L-shaped figure has outer width 15 cm, outer height 16 cm, vertical arm width 12 cm, and horizontal base height 11 cm. Calculate its total area.
225 cm² Split into two rectangles: (12 × 16) + ((15 − 12) × 11) = 192 + 33 = 225 cm².
3. An L-shaped figure has outer width 17 cm, outer height 9 cm, vertical arm width 9 cm, and horizontal base height 2 cm. Calculate its total area.
97 cm² Split into two rectangles: (9 × 9) + ((17 − 9) × 2) = 81 + 16 = 97 cm².
4. An L-shaped figure has outer width 17 cm, outer height 14 cm, vertical arm width 11 cm, and horizontal base height 2 cm. Calculate its total area.
166 cm² Split into two rectangles: (11 × 14) + ((17 − 11) × 2) = 154 + 12 = 166 cm².
5. An L-shaped figure has outer width 17 cm, outer height 11 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
97 cm² Split into two rectangles: (2 × 11) + ((17 − 2) × 5) = 22 + 75 = 97 cm².
6. An L-shaped figure has outer width 15 cm, outer height 18 cm, vertical arm width 5 cm, and horizontal base height 5 cm. Calculate its total area.
140 cm² Split into two rectangles: (5 × 18) + ((15 − 5) × 5) = 90 + 50 = 140 cm².
7. An L-shaped figure has outer width 18 cm, outer height 9 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
108 cm² Split into two rectangles: (9 × 9) + ((18 − 9) × 3) = 81 + 27 = 108 cm².
8. An L-shaped figure has outer width 6 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 7 cm. Calculate its total area.
60 cm² Split into two rectangles: (3 × 13) + ((6 − 3) × 7) = 39 + 21 = 60 cm².
9. An L-shaped figure has outer width 18 cm, outer height 7 cm, vertical arm width 9 cm, and horizontal base height 3 cm. Calculate its total area.
90 cm² Split into two rectangles: (9 × 7) + ((18 − 9) × 3) = 63 + 27 = 90 cm².
10. An L-shaped figure has outer width 9 cm, outer height 15 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
99 cm² Split into two rectangles: (6 × 15) + ((9 − 6) × 3) = 90 + 9 = 99 cm².
11. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 6 cm, and horizontal base height 3 cm. Calculate its total area.
108 cm² Split into two rectangles: (6 × 14) + ((14 − 6) × 3) = 84 + 24 = 108 cm².
12. An L-shaped figure has outer width 8 cm, outer height 14 cm, vertical arm width 5 cm, and horizontal base height 3 cm. Calculate its total area.
79 cm² Split into two rectangles: (5 × 14) + ((8 − 5) × 3) = 70 + 9 = 79 cm².
12 questions · Seed 104731 · Age guidance, not curriculum certification
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