Let's solve each of the compound shapes step by step. We'll break each shape into simpler rectangles, calculate their areas, and then add them together.
---
a)
This shape is made of two rectangles:
- A bottom rectangle: 6 cm (width) × 4 cm (height) =
24 cm²
- A top rectangle: 2 cm (width) × 8 cm (height) =
16 cm²
Total Area = 24 + 16 = 40 cm²
✔ Answer: 40 cm²
---
b)
Break this into two rectangles:
- Bottom rectangle: 12 cm (width) × 7 cm (height) =
84 cm²
- Top rectangle: 3 cm (width) × 4 cm (height) =
12 cm²
Total Area = 84 + 12 = 96 cm²
✔ Answer: 96 cm²
---
c)
Break this into two rectangles:
- Left rectangle: 6 cm (width) × 11 cm (height) =
66 cm²
- Right rectangle: 7 cm (width) × 4 cm (height) =
28 cm²
Total Area = 66 + 28 = 94 cm²
✔ Answer: 94 cm²
---
d)
This shape can be split into two rectangles:
- Bottom rectangle: 16 cm (width) × 6 cm (height) =
96 cm²
- Top rectangle: 12 cm (width) × 8 cm (height) =
96 cm²
Note: The top rectangle is 12 cm wide and sits on top of the bottom one, which is 16 cm wide — so only the overlapping part is shared, but we're calculating area separately.
Total Area = 96 + 96 = 192 cm²
✔ Answer: 192 cm²
---
✔ Final Answers:
a)
40 cm²
b)
96 cm²
c)
94 cm²
d)
192 cm²
Let me know if you'd like a visual breakdown or explanation for any specific shape!
Parent Tip: Review the logic above to help your child master the concept of finding area of composite figures worksheet.
