Let's solve each shape one by one, calculating both
perimeter and
area.
We'll use the following formulas:
-
Square:
- Perimeter = 4 × side
- Area = side²
-
Rectangle:
- Perimeter = 2 × (length + width)
- Area = length × width
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1. First Shape (Rotated Square) – Side = 9 cm
Even though it's rotated, it's a square with side 9 cm.
-
Perimeter: 4 × 9 =
36 cm
-
Area: 9 × 9 =
81 cm²
---
2. Square – Side = 8 cm
-
Perimeter: 4 × 8 =
32 cm
-
Area: 8 × 8 =
64 cm²
---
3. Rectangle – Length = 15 cm, Width = 5 cm
-
Perimeter: 2 × (15 + 5) = 2 × 20 =
40 cm
-
Area: 15 × 5 =
75 cm²
---
4. Square – Side = 7 mm
Note: units are in millimeters.
-
Perimeter: 4 × 7 =
28 mm
-
Area: 7 × 7 =
49 mm²
---
5. Square – Side = 14 cm
-
Perimeter: 4 × 14 =
56 cm
-
Area: 14 × 14 =
196 cm²
---
6. Rotated Rectangle – Sides = 9 cm and 3 cm
It’s a rectangle with length 9 cm and width 3 cm.
-
Perimeter: 2 × (9 + 3) = 2 × 12 =
24 cm
-
Area: 9 × 3 =
27 cm²
---
7. Rectangle – Length = 9 cm, Width = 2 cm
-
Perimeter: 2 × (9 + 2) = 2 × 11 =
22 cm
-
Area: 9 × 2 =
18 cm²
---
8. Rectangle – Length = 7 m, Width = 3 m
-
Perimeter: 2 × (7 + 3) = 2 × 10 =
20 m
-
Area: 7 × 3 =
21 m²
---
9. Square – Side = 20 cm
-
Perimeter: 4 × 20 =
80 cm
-
Area: 20 × 20 =
400 cm²
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✔ Final Answers:
| Shape | Perimeter | Area |
|------|-----------|------|
| 1. Square (9 cm) | 36 cm | 81 cm² |
| 2. Square (8 cm) | 32 cm | 64 cm² |
| 3. Rectangle (15×5) | 40 cm | 75 cm² |
| 4. Square (7 mm) | 28 mm | 49 mm² |
| 5. Square (14 cm) | 56 cm | 196 cm² |
| 6. Rectangle (9×3) | 24 cm | 27 cm² |
| 7. Rectangle (9×2) | 22 cm | 18 cm² |
| 8. Rectangle (7×3 m) | 20 m | 21 m² |
| 9. Square (20 cm) | 80 cm | 400 cm² |
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📝 Summary:
- Always identify whether the shape is a
square or
rectangle.
- Use correct formulas.
- Pay attention to
units — keep them consistent.
- For rotated shapes, only the orientation changes; dimensions stay the same.
Let me know if you'd like this formatted as a filled-in worksheet!
Parent Tip: Review the logic above to help your child master the concept of area of squares and rectangles worksheet.
