Back to worksheets Maths Ages 10-12
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 10-12
Compound L-shape area Take your time. Show your thinking.
1. An L-shaped figure has outer width 15 cm, outer height 9 cm, vertical arm width 7 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 15 cm × 9 cm · Arms: 7 cm & 3 cm
2. An L-shaped figure has outer width 16 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 16 cm × 9 cm · Arms: 2 cm & 5 cm
3. An L-shaped figure has outer width 8 cm, outer height 11 cm, vertical arm width 5 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 8 cm × 11 cm · Arms: 5 cm & 7 cm
4. An L-shaped figure has outer width 12 cm, outer height 16 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 12 cm × 16 cm · Arms: 8 cm & 6 cm
5. An L-shaped figure has outer width 7 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 7 cm × 9 cm · Arms: 2 cm & 2 cm
6. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 14 cm × 12 cm · Arms: 8 cm & 6 cm
7. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 7 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 17 cm × 10 cm · Arms: 7 cm & 4 cm
8. An L-shaped figure has outer width 14 cm, outer height 13 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 14 cm × 13 cm · Arms: 8 cm & 6 cm
9. An L-shaped figure has outer width 17 cm, outer height 13 cm, vertical arm width 11 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 13 cm · Arms: 11 cm & 2 cm
10. An L-shaped figure has outer width 8 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 8 cm × 13 cm · Arms: 3 cm & 4 cm
11. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 13 cm × 7 cm · Arms: 8 cm & 4 cm
12. An L-shaped figure has outer width 14 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 14 cm × 9 cm · Arms: 5 cm & 6 cm
12 questions · Seed 104730 · Age guidance, not curriculum certification
View the answer key Worksheet Studio Answer key · Ages 10-12
Compound L-shape area Answers and reasoning. Review before teaching.
1. An L-shaped figure has outer width 15 cm, outer height 9 cm, vertical arm width 7 cm, and horizontal base height 3 cm. Calculate its total area.
87 cm² Split into two rectangles: (7 × 9) + ((15 − 7) × 3) = 63 + 24 = 87 cm².
2. An L-shaped figure has outer width 16 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
88 cm² Split into two rectangles: (2 × 9) + ((16 − 2) × 5) = 18 + 70 = 88 cm².
3. An L-shaped figure has outer width 8 cm, outer height 11 cm, vertical arm width 5 cm, and horizontal base height 7 cm. Calculate its total area.
76 cm² Split into two rectangles: (5 × 11) + ((8 − 5) × 7) = 55 + 21 = 76 cm².
4. An L-shaped figure has outer width 12 cm, outer height 16 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
152 cm² Split into two rectangles: (8 × 16) + ((12 − 8) × 6) = 128 + 24 = 152 cm².
5. An L-shaped figure has outer width 7 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
28 cm² Split into two rectangles: (2 × 9) + ((7 − 2) × 2) = 18 + 10 = 28 cm².
6. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
132 cm² Split into two rectangles: (8 × 12) + ((14 − 8) × 6) = 96 + 36 = 132 cm².
7. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 7 cm, and horizontal base height 4 cm. Calculate its total area.
110 cm² Split into two rectangles: (7 × 10) + ((17 − 7) × 4) = 70 + 40 = 110 cm².
8. An L-shaped figure has outer width 14 cm, outer height 13 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
140 cm² Split into two rectangles: (8 × 13) + ((14 − 8) × 6) = 104 + 36 = 140 cm².
9. An L-shaped figure has outer width 17 cm, outer height 13 cm, vertical arm width 11 cm, and horizontal base height 2 cm. Calculate its total area.
155 cm² Split into two rectangles: (11 × 13) + ((17 − 11) × 2) = 143 + 12 = 155 cm².
10. An L-shaped figure has outer width 8 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.
59 cm² Split into two rectangles: (3 × 13) + ((8 − 3) × 4) = 39 + 20 = 59 cm².
11. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.
76 cm² Split into two rectangles: (8 × 7) + ((13 − 8) × 4) = 56 + 20 = 76 cm².
12. An L-shaped figure has outer width 14 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
99 cm² Split into two rectangles: (5 × 9) + ((14 − 5) × 6) = 45 + 54 = 99 cm².
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet Studio Practice pack · Ages 10-12
Compound L-shape area Take your time. Show your thinking.
1. An L-shaped figure has outer width 15 cm, outer height 9 cm, vertical arm width 7 cm, and horizontal base height 3 cm. Calculate its total area.
Outer: 15 cm × 9 cm · Arms: 7 cm & 3 cm
2. An L-shaped figure has outer width 16 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
Outer: 16 cm × 9 cm · Arms: 2 cm & 5 cm
3. An L-shaped figure has outer width 8 cm, outer height 11 cm, vertical arm width 5 cm, and horizontal base height 7 cm. Calculate its total area.
Outer: 8 cm × 11 cm · Arms: 5 cm & 7 cm
4. An L-shaped figure has outer width 12 cm, outer height 16 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 12 cm × 16 cm · Arms: 8 cm & 6 cm
5. An L-shaped figure has outer width 7 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 7 cm × 9 cm · Arms: 2 cm & 2 cm
6. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 14 cm × 12 cm · Arms: 8 cm & 6 cm
7. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 7 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 17 cm × 10 cm · Arms: 7 cm & 4 cm
8. An L-shaped figure has outer width 14 cm, outer height 13 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 14 cm × 13 cm · Arms: 8 cm & 6 cm
9. An L-shaped figure has outer width 17 cm, outer height 13 cm, vertical arm width 11 cm, and horizontal base height 2 cm. Calculate its total area.
Outer: 17 cm × 13 cm · Arms: 11 cm & 2 cm
10. An L-shaped figure has outer width 8 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 8 cm × 13 cm · Arms: 3 cm & 4 cm
11. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.
Outer: 13 cm × 7 cm · Arms: 8 cm & 4 cm
12. An L-shaped figure has outer width 14 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
Outer: 14 cm × 9 cm · Arms: 5 cm & 6 cm
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet Studio Answer key · Ages 10-12
Compound L-shape area Answers and reasoning. Review before teaching.
1. An L-shaped figure has outer width 15 cm, outer height 9 cm, vertical arm width 7 cm, and horizontal base height 3 cm. Calculate its total area.
87 cm² Split into two rectangles: (7 × 9) + ((15 − 7) × 3) = 63 + 24 = 87 cm².
2. An L-shaped figure has outer width 16 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 5 cm. Calculate its total area.
88 cm² Split into two rectangles: (2 × 9) + ((16 − 2) × 5) = 18 + 70 = 88 cm².
3. An L-shaped figure has outer width 8 cm, outer height 11 cm, vertical arm width 5 cm, and horizontal base height 7 cm. Calculate its total area.
76 cm² Split into two rectangles: (5 × 11) + ((8 − 5) × 7) = 55 + 21 = 76 cm².
4. An L-shaped figure has outer width 12 cm, outer height 16 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
152 cm² Split into two rectangles: (8 × 16) + ((12 − 8) × 6) = 128 + 24 = 152 cm².
5. An L-shaped figure has outer width 7 cm, outer height 9 cm, vertical arm width 2 cm, and horizontal base height 2 cm. Calculate its total area.
28 cm² Split into two rectangles: (2 × 9) + ((7 − 2) × 2) = 18 + 10 = 28 cm².
6. An L-shaped figure has outer width 14 cm, outer height 12 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
132 cm² Split into two rectangles: (8 × 12) + ((14 − 8) × 6) = 96 + 36 = 132 cm².
7. An L-shaped figure has outer width 17 cm, outer height 10 cm, vertical arm width 7 cm, and horizontal base height 4 cm. Calculate its total area.
110 cm² Split into two rectangles: (7 × 10) + ((17 − 7) × 4) = 70 + 40 = 110 cm².
8. An L-shaped figure has outer width 14 cm, outer height 13 cm, vertical arm width 8 cm, and horizontal base height 6 cm. Calculate its total area.
140 cm² Split into two rectangles: (8 × 13) + ((14 − 8) × 6) = 104 + 36 = 140 cm².
9. An L-shaped figure has outer width 17 cm, outer height 13 cm, vertical arm width 11 cm, and horizontal base height 2 cm. Calculate its total area.
155 cm² Split into two rectangles: (11 × 13) + ((17 − 11) × 2) = 143 + 12 = 155 cm².
10. An L-shaped figure has outer width 8 cm, outer height 13 cm, vertical arm width 3 cm, and horizontal base height 4 cm. Calculate its total area.
59 cm² Split into two rectangles: (3 × 13) + ((8 − 3) × 4) = 39 + 20 = 59 cm².
11. An L-shaped figure has outer width 13 cm, outer height 7 cm, vertical arm width 8 cm, and horizontal base height 4 cm. Calculate its total area.
76 cm² Split into two rectangles: (8 × 7) + ((13 − 8) × 4) = 56 + 20 = 76 cm².
12. An L-shaped figure has outer width 14 cm, outer height 9 cm, vertical arm width 5 cm, and horizontal base height 6 cm. Calculate its total area.
99 cm² Split into two rectangles: (5 × 9) + ((14 − 5) × 6) = 45 + 54 = 99 cm².
12 questions · Seed 104730 · Age guidance, not curriculum certification
More maths worksheets Also in: 6th Grade Worksheets