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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 15 cm, outer height 7 cm, vertical arm width 7 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 15 cm × 7 cm · Arms: 7 cm & 3 cm
2. An L-shaped figure has outer width 17 cm, outer height 9 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 17 cm × 9 cm · Arms: 3 cm & 5 cm
3. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 10 cm × 14 cm · Arms: 2 cm & 6 cm
4. An L-shaped figure has outer width 10 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 10 cm × 17 cm · Arms: 5 cm & 8 cm
5. An L-shaped figure has outer width 9 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 9 cm × 17 cm · Arms: 5 cm & 9 cm
6. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 18 cm × 10 cm · Arms: 4 cm & 3 cm
7. An L-shaped figure has outer width 9 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 9 cm × 9 cm · Arms: 5 cm & 5 cm
8. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 15 cm. Calculate its total area.
Outer: 10 cm × 18 cm · Arms: 6 cm & 15 cm
9. An L-shaped figure has outer width 18 cm, outer height 9 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 18 cm × 9 cm · Arms: 11 cm & 4 cm
10. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 7 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 14 cm × 14 cm · Arms: 7 cm & 8 cm
11. An L-shaped figure has outer width 11 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 11 cm × 7 cm · Arms: 4 cm & 4 cm
12. An L-shaped figure has outer width 6 cm, outer height 8 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 6 cm × 8 cm · Arms: 2 cm & 5 cm
12 questions · Seed 49 · 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 15 cm, outer height 7 cm, vertical arm width 7 cm, and horizontal base height 3 cm. Calculate its total area.
73 cm² Split into two rectangles: (7 × 7) + ((15 − 7) × 3) = 49 + 24 = 73 cm².
2. An L-shaped figure has outer width 17 cm, outer height 9 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
97 cm² Split into two rectangles: (3 × 9) + ((17 − 3) × 5) = 27 + 70 = 97 cm².
3. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
76 cm² Split into two rectangles: (2 × 14) + ((10 − 2) × 6) = 28 + 48 = 76 cm².
4. An L-shaped figure has outer width 10 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.
125 cm² Split into two rectangles: (5 × 17) + ((10 − 5) × 8) = 85 + 40 = 125 cm².
5. An L-shaped figure has outer width 9 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 9 cm. Calculate its total area.
121 cm² Split into two rectangles: (5 × 17) + ((9 − 5) × 9) = 85 + 36 = 121 cm².
6. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
82 cm² Split into two rectangles: (4 × 10) + ((18 − 4) × 3) = 40 + 42 = 82 cm².
7. An L-shaped figure has outer width 9 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 5 cm. Calculate its total area.
65 cm² Split into two rectangles: (5 × 9) + ((9 − 5) × 5) = 45 + 20 = 65 cm².
8. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 15 cm. Calculate its total area.
168 cm² Split into two rectangles: (6 × 18) + ((10 − 6) × 15) = 108 + 60 = 168 cm².
9. An L-shaped figure has outer width 18 cm, outer height 9 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.
127 cm² Split into two rectangles: (11 × 9) + ((18 − 11) × 4) = 99 + 28 = 127 cm².
10. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 7 cm, and horizontal base height 8 cm. Calculate its total area.
154 cm² Split into two rectangles: (7 × 14) + ((14 − 7) × 8) = 98 + 56 = 154 cm².
11. An L-shaped figure has outer width 11 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.
56 cm² Split into two rectangles: (4 × 7) + ((11 − 4) × 4) = 28 + 28 = 56 cm².
12. An L-shaped figure has outer width 6 cm, outer height 8 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
36 cm² Split into two rectangles: (2 × 8) + ((6 − 2) × 5) = 16 + 20 = 36 cm².
12 questions · Seed 49 · 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 15 cm, outer height 7 cm, vertical arm width 7 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 15 cm × 7 cm · Arms: 7 cm & 3 cm
2. An L-shaped figure has outer width 17 cm, outer height 9 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 17 cm × 9 cm · Arms: 3 cm & 5 cm
3. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 10 cm × 14 cm · Arms: 2 cm & 6 cm
4. An L-shaped figure has outer width 10 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 10 cm × 17 cm · Arms: 5 cm & 8 cm
5. An L-shaped figure has outer width 9 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 9 cm × 17 cm · Arms: 5 cm & 9 cm
6. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 18 cm × 10 cm · Arms: 4 cm & 3 cm
7. An L-shaped figure has outer width 9 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 9 cm × 9 cm · Arms: 5 cm & 5 cm
8. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 15 cm. Calculate its total area.
Outer: 10 cm × 18 cm · Arms: 6 cm & 15 cm
9. An L-shaped figure has outer width 18 cm, outer height 9 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 18 cm × 9 cm · Arms: 11 cm & 4 cm
10. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 7 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 14 cm × 14 cm · Arms: 7 cm & 8 cm
11. An L-shaped figure has outer width 11 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 11 cm × 7 cm · Arms: 4 cm & 4 cm
12. An L-shaped figure has outer width 6 cm, outer height 8 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 6 cm × 8 cm · Arms: 2 cm & 5 cm
12 questions · Seed 49 · 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 15 cm, outer height 7 cm, vertical arm width 7 cm, and horizontal base height 3 cm. Calculate its total area.
73 cm² Split into two rectangles: (7 × 7) + ((15 − 7) × 3) = 49 + 24 = 73 cm².
2. An L-shaped figure has outer width 17 cm, outer height 9 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
97 cm² Split into two rectangles: (3 × 9) + ((17 − 3) × 5) = 27 + 70 = 97 cm².
3. An L-shaped figure has outer width 10 cm, outer height 14 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
76 cm² Split into two rectangles: (2 × 14) + ((10 − 2) × 6) = 28 + 48 = 76 cm².
4. An L-shaped figure has outer width 10 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 8 cm. Calculate its total area.
125 cm² Split into two rectangles: (5 × 17) + ((10 − 5) × 8) = 85 + 40 = 125 cm².
5. An L-shaped figure has outer width 9 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 9 cm. Calculate its total area.
121 cm² Split into two rectangles: (5 × 17) + ((9 − 5) × 9) = 85 + 36 = 121 cm².
6. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
82 cm² Split into two rectangles: (4 × 10) + ((18 − 4) × 3) = 40 + 42 = 82 cm².
7. An L-shaped figure has outer width 9 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 5 cm. Calculate its total area.
65 cm² Split into two rectangles: (5 × 9) + ((9 − 5) × 5) = 45 + 20 = 65 cm².
8. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 6 cm, and horizontal base height 15 cm. Calculate its total area.
168 cm² Split into two rectangles: (6 × 18) + ((10 − 6) × 15) = 108 + 60 = 168 cm².
9. An L-shaped figure has outer width 18 cm, outer height 9 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.
127 cm² Split into two rectangles: (11 × 9) + ((18 − 11) × 4) = 99 + 28 = 127 cm².
10. An L-shaped figure has outer width 14 cm, outer height 14 cm, vertical arm width 7 cm, and horizontal base height 8 cm. Calculate its total area.
154 cm² Split into two rectangles: (7 × 14) + ((14 − 7) × 8) = 98 + 56 = 154 cm².
11. An L-shaped figure has outer width 11 cm, outer height 7 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.
56 cm² Split into two rectangles: (4 × 7) + ((11 − 4) × 4) = 28 + 28 = 56 cm².
12. An L-shaped figure has outer width 6 cm, outer height 8 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
36 cm² Split into two rectangles: (2 × 8) + ((6 − 2) × 5) = 16 + 20 = 36 cm².
12 questions · Seed 49 · Age guidance, not curriculum certification
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