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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 6 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 15 cm × 6 cm · Arms: 7 cm & 2 cm
2. An L-shaped figure has outer width 7 cm, outer height 13 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 7 cm × 13 cm · Arms: 4 cm & 3 cm
3. An L-shaped figure has outer width 18 cm, outer height 15 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 18 cm × 15 cm · Arms: 4 cm & 5 cm
4. An L-shaped figure has outer width 18 cm, outer height 11 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 18 cm × 11 cm · Arms: 10 cm & 4 cm
5. An L-shaped figure has outer width 10 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 10 cm × 15 cm · Arms: 5 cm & 2 cm
6. An L-shaped figure has outer width 6 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 6 cm × 18 cm · Arms: 3 cm & 8 cm
7. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 7 cm × 16 cm · Arms: 3 cm & 3 cm
8. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 13 cm × 7 cm · Arms: 2 cm & 2 cm
9. An L-shaped figure has outer width 9 cm, outer height 13 cm, vertical arm width 6 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 9 cm × 13 cm · Arms: 6 cm & 6 cm
10. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 18 cm × 10 cm · Arms: 3 cm & 5 cm
11. An L-shaped figure has outer width 16 cm, outer height 9 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 16 cm × 9 cm · Arms: 4 cm & 4 cm
12. An L-shaped figure has outer width 8 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 13 cm. Calculate its total area.
Outer: 8 cm × 17 cm · Arms: 5 cm & 13 cm
12 questions · Seed 46 · 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 6 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.
58 cm² Split into two rectangles: (7 × 6) + ((15 − 7) × 2) = 42 + 16 = 58 cm².
2. An L-shaped figure has outer width 7 cm, outer height 13 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
61 cm² Split into two rectangles: (4 × 13) + ((7 − 4) × 3) = 52 + 9 = 61 cm².
3. An L-shaped figure has outer width 18 cm, outer height 15 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
130 cm² Split into two rectangles: (4 × 15) + ((18 − 4) × 5) = 60 + 70 = 130 cm².
4. An L-shaped figure has outer width 18 cm, outer height 11 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.
142 cm² Split into two rectangles: (10 × 11) + ((18 − 10) × 4) = 110 + 32 = 142 cm².
5. An L-shaped figure has outer width 10 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 2 cm. Calculate its total area.
85 cm² Split into two rectangles: (5 × 15) + ((10 − 5) × 2) = 75 + 10 = 85 cm².
6. An L-shaped figure has outer width 6 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
78 cm² Split into two rectangles: (3 × 18) + ((6 − 3) × 8) = 54 + 24 = 78 cm².
7. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
60 cm² Split into two rectangles: (3 × 16) + ((7 − 3) × 3) = 48 + 12 = 60 cm².
8. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
36 cm² Split into two rectangles: (2 × 7) + ((13 − 2) × 2) = 14 + 22 = 36 cm².
9. An L-shaped figure has outer width 9 cm, outer height 13 cm, vertical arm width 6 cm, and horizontal base height 6 cm. Calculate its total area.
96 cm² Split into two rectangles: (6 × 13) + ((9 − 6) × 6) = 78 + 18 = 96 cm².
10. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
105 cm² Split into two rectangles: (3 × 10) + ((18 − 3) × 5) = 30 + 75 = 105 cm².
11. An L-shaped figure has outer width 16 cm, outer height 9 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.
84 cm² Split into two rectangles: (4 × 9) + ((16 − 4) × 4) = 36 + 48 = 84 cm².
12. An L-shaped figure has outer width 8 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 13 cm. Calculate its total area.
124 cm² Split into two rectangles: (5 × 17) + ((8 − 5) × 13) = 85 + 39 = 124 cm².
12 questions · Seed 46 · 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 6 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 15 cm × 6 cm · Arms: 7 cm & 2 cm
2. An L-shaped figure has outer width 7 cm, outer height 13 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 7 cm × 13 cm · Arms: 4 cm & 3 cm
3. An L-shaped figure has outer width 18 cm, outer height 15 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 18 cm × 15 cm · Arms: 4 cm & 5 cm
4. An L-shaped figure has outer width 18 cm, outer height 11 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 18 cm × 11 cm · Arms: 10 cm & 4 cm
5. An L-shaped figure has outer width 10 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 10 cm × 15 cm · Arms: 5 cm & 2 cm
6. An L-shaped figure has outer width 6 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 6 cm × 18 cm · Arms: 3 cm & 8 cm
7. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 7 cm × 16 cm · Arms: 3 cm & 3 cm
8. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 13 cm × 7 cm · Arms: 2 cm & 2 cm
9. An L-shaped figure has outer width 9 cm, outer height 13 cm, vertical arm width 6 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 9 cm × 13 cm · Arms: 6 cm & 6 cm
10. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 18 cm × 10 cm · Arms: 3 cm & 5 cm
11. An L-shaped figure has outer width 16 cm, outer height 9 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 16 cm × 9 cm · Arms: 4 cm & 4 cm
12. An L-shaped figure has outer width 8 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 13 cm. Calculate its total area.
Outer: 8 cm × 17 cm · Arms: 5 cm & 13 cm
12 questions · Seed 46 · 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 6 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.
58 cm² Split into two rectangles: (7 × 6) + ((15 − 7) × 2) = 42 + 16 = 58 cm².
2. An L-shaped figure has outer width 7 cm, outer height 13 cm, vertical arm width 4 cm, and horizontal base height 3 cm. Calculate its total area.
61 cm² Split into two rectangles: (4 × 13) + ((7 − 4) × 3) = 52 + 9 = 61 cm².
3. An L-shaped figure has outer width 18 cm, outer height 15 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
130 cm² Split into two rectangles: (4 × 15) + ((18 − 4) × 5) = 60 + 70 = 130 cm².
4. An L-shaped figure has outer width 18 cm, outer height 11 cm, vertical arm width 10 cm, and horizontal base height 4 cm. Calculate its total area.
142 cm² Split into two rectangles: (10 × 11) + ((18 − 10) × 4) = 110 + 32 = 142 cm².
5. An L-shaped figure has outer width 10 cm, outer height 15 cm, vertical arm width 5 cm, and horizontal base height 2 cm. Calculate its total area.
85 cm² Split into two rectangles: (5 × 15) + ((10 − 5) × 2) = 75 + 10 = 85 cm².
6. An L-shaped figure has outer width 6 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
78 cm² Split into two rectangles: (3 × 18) + ((6 − 3) × 8) = 54 + 24 = 78 cm².
7. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 3 cm, and horizontal base height 3 cm. Calculate its total area.
60 cm² Split into two rectangles: (3 × 16) + ((7 − 3) × 3) = 48 + 12 = 60 cm².
8. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
36 cm² Split into two rectangles: (2 × 7) + ((13 − 2) × 2) = 14 + 22 = 36 cm².
9. An L-shaped figure has outer width 9 cm, outer height 13 cm, vertical arm width 6 cm, and horizontal base height 6 cm. Calculate its total area.
96 cm² Split into two rectangles: (6 × 13) + ((9 − 6) × 6) = 78 + 18 = 96 cm².
10. An L-shaped figure has outer width 18 cm, outer height 10 cm, vertical arm width 3 cm, and horizontal base height 5 cm. Calculate its total area.
105 cm² Split into two rectangles: (3 × 10) + ((18 − 3) × 5) = 30 + 75 = 105 cm².
11. An L-shaped figure has outer width 16 cm, outer height 9 cm, vertical arm width 4 cm, and horizontal base height 4 cm. Calculate its total area.
84 cm² Split into two rectangles: (4 × 9) + ((16 − 4) × 4) = 36 + 48 = 84 cm².
12. An L-shaped figure has outer width 8 cm, outer height 17 cm, vertical arm width 5 cm, and horizontal base height 13 cm. Calculate its total area.
124 cm² Split into two rectangles: (5 × 17) + ((8 − 5) × 13) = 85 + 39 = 124 cm².
12 questions · Seed 46 · Age guidance, not curriculum certification
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