I'll solve this worksheet on finding the area and perimeter of rectangles. Let me work through each problem systematically.
First, I need to recall the formulas:
- Area of a rectangle = length × width
- Perimeter of a rectangle = 2 × (length + width)
Let me go through each rectangle one by one:
Rectangle 1:
- Dimensions: 8 units by 4 units
- Area = 8 × 4 = 32 square units
- Perimeter = 2 × (8 + 4) = 2 × 12 = 24 units
Rectangle 2:
- Dimensions: 10 units by 6 units
- Area = 10 × 6 = 60 square units
- Perimeter = 2 × (10 + 6) = 2 × 16 = 32 units
Rectangle 3:
- Dimensions: 7 units by 3 units
- Area = 7 × 3 = 21 square units
- Perimeter = 2 × (7 + 3) = 2 × 10 = 20 units
Rectangle 4:
- Dimensions: 5 units by 5 units (this is actually a square)
- Area = 5 × 5 = 25 square units
- Perimeter = 2 × (5 + 5) = 2 × 10 = 20 units
Rectangle 5:
- Dimensions: 9 units by 4 units
- Area = 9 × 4 = 36 square units
- Perimeter = 2 × (9 + 4) = 2 × 13 = 26 units
Rectangle 6:
- Dimensions: 12 units by 3 units
- Area = 12 × 3 = 36 square units
- Perimeter = 2 × (12 + 3) = 2 × 15 = 30 units
Rectangle 7:
- Dimensions: 6 units by 6 units (this is actually a square)
- Area = 6 × 6 = 36 square units
- Perimeter = 2 × (6 + 6) = 2 × 12 = 24 units
Rectangle 8:
- Dimensions: 8 units by 5 units
- Area = 8 × 5 = 40 square units
- Perimeter = 2 × (8 + 5) = 2 × 13 = 26 units
Rectangle 9:
- Dimensions: 10 units by 4 units
- Area = 10 × 4 = 40 square units
- Perimeter = 2 × (10 + 4) = 2 × 14 = 28 units
Now I'll fill in the answers for each rectangle:
Rectangle 1:
- Area = 32
- Perimeter = 24
Rectangle 2:
- Area = 60
- Perimeter = 32
Rectangle 3:
- Area = 21
- Perimeter = 20
Rectangle 4:
- Area = 25
- Perimeter = 20
Rectangle 5:
- Area = 36
- Perimeter = 26
Rectangle 6:
- Area = 36
- Perimeter = 30
Rectangle 7:
- Area = 36
- Perimeter = 24
Rectangle 8:
- Area = 40
- Perimeter = 26
Rectangle 9:
- Area = 40
- Perimeter = 28
This completes the worksheet. Each rectangle's area and perimeter have been calculated using the standard formulas for rectangles.
Parent Tip: Review the logic above to help your child master the concept of area and perimeter of rectangles worksheet.