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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 16 cm, outer height 14 cm, vertical arm width 11 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 16 cm × 14 cm · Arms: 11 cm & 5 cm
2. An L-shaped figure has outer width 14 cm, outer height 18 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 14 cm × 18 cm · Arms: 11 cm & 4 cm
3. An L-shaped figure has outer width 18 cm, outer height 12 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 18 cm × 12 cm · Arms: 4 cm & 5 cm
4. An L-shaped figure has outer width 6 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 10 cm. Calculate its total area.
Outer: 6 cm × 14 cm · Arms: 3 cm & 10 cm
5. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 4 cm, and horizontal base height 10 cm. Calculate its total area.
Outer: 10 cm × 18 cm · Arms: 4 cm & 10 cm
6. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 13 cm × 7 cm · Arms: 5 cm & 4 cm
7. An L-shaped figure has outer width 9 cm, outer height 17 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 9 cm × 17 cm · Arms: 3 cm & 8 cm
8. An L-shaped figure has outer width 10 cm, outer height 10 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 10 cm × 10 cm · Arms: 7 cm & 2 cm
9. An L-shaped figure has outer width 17 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 17 cm × 18 cm · Arms: 3 cm & 9 cm
10. An L-shaped figure has outer width 17 cm, outer height 12 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 17 cm × 12 cm · Arms: 2 cm & 6 cm
11. An L-shaped figure has outer width 11 cm, outer height 17 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 11 cm × 17 cm · Arms: 4 cm & 7 cm
12. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 4 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 7 cm × 16 cm · Arms: 4 cm & 8 cm
12 questions · Seed 104729 · 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 16 cm, outer height 14 cm, vertical arm width 11 cm, and horizontal base height 5 cm. Calculate its total area.
179 cm² Split into two rectangles: (11 × 14) + ((16 − 11) × 5) = 154 + 25 = 179 cm².
2. An L-shaped figure has outer width 14 cm, outer height 18 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.
210 cm² Split into two rectangles: (11 × 18) + ((14 − 11) × 4) = 198 + 12 = 210 cm².
3. An L-shaped figure has outer width 18 cm, outer height 12 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
118 cm² Split into two rectangles: (4 × 12) + ((18 − 4) × 5) = 48 + 70 = 118 cm².
4. An L-shaped figure has outer width 6 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 10 cm. Calculate its total area.
72 cm² Split into two rectangles: (3 × 14) + ((6 − 3) × 10) = 42 + 30 = 72 cm².
5. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 4 cm, and horizontal base height 10 cm. Calculate its total area.
132 cm² Split into two rectangles: (4 × 18) + ((10 − 4) × 10) = 72 + 60 = 132 cm².
6. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
67 cm² Split into two rectangles: (5 × 7) + ((13 − 5) × 4) = 35 + 32 = 67 cm².
7. An L-shaped figure has outer width 9 cm, outer height 17 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
99 cm² Split into two rectangles: (3 × 17) + ((9 − 3) × 8) = 51 + 48 = 99 cm².
8. An L-shaped figure has outer width 10 cm, outer height 10 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.
76 cm² Split into two rectangles: (7 × 10) + ((10 − 7) × 2) = 70 + 6 = 76 cm².
9. An L-shaped figure has outer width 17 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 9 cm. Calculate its total area.
180 cm² Split into two rectangles: (3 × 18) + ((17 − 3) × 9) = 54 + 126 = 180 cm².
10. An L-shaped figure has outer width 17 cm, outer height 12 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
114 cm² Split into two rectangles: (2 × 12) + ((17 − 2) × 6) = 24 + 90 = 114 cm².
11. An L-shaped figure has outer width 11 cm, outer height 17 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.
117 cm² Split into two rectangles: (4 × 17) + ((11 − 4) × 7) = 68 + 49 = 117 cm².
12. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 4 cm, and horizontal base height 8 cm. Calculate its total area.
88 cm² Split into two rectangles: (4 × 16) + ((7 − 4) × 8) = 64 + 24 = 88 cm².
12 questions · Seed 104729 · 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 16 cm, outer height 14 cm, vertical arm width 11 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 16 cm × 14 cm · Arms: 11 cm & 5 cm
2. An L-shaped figure has outer width 14 cm, outer height 18 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 14 cm × 18 cm · Arms: 11 cm & 4 cm
3. An L-shaped figure has outer width 18 cm, outer height 12 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 18 cm × 12 cm · Arms: 4 cm & 5 cm
4. An L-shaped figure has outer width 6 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 10 cm. Calculate its total area.
Outer: 6 cm × 14 cm · Arms: 3 cm & 10 cm
5. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 4 cm, and horizontal base height 10 cm. Calculate its total area.
Outer: 10 cm × 18 cm · Arms: 4 cm & 10 cm
6. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 13 cm × 7 cm · Arms: 5 cm & 4 cm
7. An L-shaped figure has outer width 9 cm, outer height 17 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 9 cm × 17 cm · Arms: 3 cm & 8 cm
8. An L-shaped figure has outer width 10 cm, outer height 10 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 10 cm × 10 cm · Arms: 7 cm & 2 cm
9. An L-shaped figure has outer width 17 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 9 cm. Calculate its total area.
Outer: 17 cm × 18 cm · Arms: 3 cm & 9 cm
10. An L-shaped figure has outer width 17 cm, outer height 12 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 17 cm × 12 cm · Arms: 2 cm & 6 cm
11. An L-shaped figure has outer width 11 cm, outer height 17 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 11 cm × 17 cm · Arms: 4 cm & 7 cm
12. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 4 cm, and horizontal base height 8 cm. Calculate its total area.
Outer: 7 cm × 16 cm · Arms: 4 cm & 8 cm
12 questions · Seed 104729 · 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 16 cm, outer height 14 cm, vertical arm width 11 cm, and horizontal base height 5 cm. Calculate its total area.
179 cm² Split into two rectangles: (11 × 14) + ((16 − 11) × 5) = 154 + 25 = 179 cm².
2. An L-shaped figure has outer width 14 cm, outer height 18 cm, vertical arm width 11 cm, and horizontal base height 4 cm. Calculate its total area.
210 cm² Split into two rectangles: (11 × 18) + ((14 − 11) × 4) = 198 + 12 = 210 cm².
3. An L-shaped figure has outer width 18 cm, outer height 12 cm, vertical arm width 4 cm, and horizontal base height 5 cm. Calculate its total area.
118 cm² Split into two rectangles: (4 × 12) + ((18 − 4) × 5) = 48 + 70 = 118 cm².
4. An L-shaped figure has outer width 6 cm, outer height 14 cm, vertical arm width 3 cm, and horizontal base height 10 cm. Calculate its total area.
72 cm² Split into two rectangles: (3 × 14) + ((6 − 3) × 10) = 42 + 30 = 72 cm².
5. An L-shaped figure has outer width 10 cm, outer height 18 cm, vertical arm width 4 cm, and horizontal base height 10 cm. Calculate its total area.
132 cm² Split into two rectangles: (4 × 18) + ((10 − 4) × 10) = 72 + 60 = 132 cm².
6. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 5 cm, and horizontal base height 4 cm. Calculate its total area.
67 cm² Split into two rectangles: (5 × 7) + ((13 − 5) × 4) = 35 + 32 = 67 cm².
7. An L-shaped figure has outer width 9 cm, outer height 17 cm, vertical arm width 3 cm, and horizontal base height 8 cm. Calculate its total area.
99 cm² Split into two rectangles: (3 × 17) + ((9 − 3) × 8) = 51 + 48 = 99 cm².
8. An L-shaped figure has outer width 10 cm, outer height 10 cm, vertical arm width 7 cm, and horizontal base height 2 cm. Calculate its total area.
76 cm² Split into two rectangles: (7 × 10) + ((10 − 7) × 2) = 70 + 6 = 76 cm².
9. An L-shaped figure has outer width 17 cm, outer height 18 cm, vertical arm width 3 cm, and horizontal base height 9 cm. Calculate its total area.
180 cm² Split into two rectangles: (3 × 18) + ((17 − 3) × 9) = 54 + 126 = 180 cm².
10. An L-shaped figure has outer width 17 cm, outer height 12 cm, vertical arm width 2 cm, and horizontal base height 6 cm. Calculate its total area.
114 cm² Split into two rectangles: (2 × 12) + ((17 − 2) × 6) = 24 + 90 = 114 cm².
11. An L-shaped figure has outer width 11 cm, outer height 17 cm, vertical arm width 4 cm, and horizontal base height 7 cm. Calculate its total area.
117 cm² Split into two rectangles: (4 × 17) + ((11 − 4) × 7) = 68 + 49 = 117 cm².
12. An L-shaped figure has outer width 7 cm, outer height 16 cm, vertical arm width 4 cm, and horizontal base height 8 cm. Calculate its total area.
88 cm² Split into two rectangles: (4 × 16) + ((7 − 4) × 8) = 64 + 24 = 88 cm².
12 questions · Seed 104729 · Age guidance, not curriculum certification
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