Problem Overview:
The worksheet asks us to calculate the
area of each rectangle and the area of a square. The formula for the area of a rectangle is:
\[
\text{Area of a rectangle} = \text{length} \times \text{width}
\]
For a square, since all sides are equal, the formula simplifies to:
\[
\text{Area of a square} = \text{side} \times \text{side} = \text{side}^2
\]
Step-by-Step Solution:
####
Rectangles:
1.
Rectangle 1:
- Length = 7 ft
- Width = 3 ft
- Area = \( 7 \times 3 = 21 \) square feet
2.
Rectangle 2:
- Length = 8 m
- Width = 4 m
- Area = \( 8 \times 4 = 32 \) square meters
3.
Rectangle 3:
- Length = 11 in
- Width = 5 in
- Area = \( 11 \times 5 = 55 \) square inches
4.
Rectangle 4:
- Length = 6 ft
- Width = 4 ft
- Area = \( 6 \times 4 = 24 \) square feet
5.
Rectangle 5:
- Length = 8 in
- Width = 7 in
- Area = \( 8 \times 7 = 56 \) square inches
6.
Rectangle 6:
- Length = 6 ft
- Width = 6 ft (Note: This is actually a square, but we treat it as a rectangle here)
- Area = \( 6 \times 6 = 36 \) square feet
7.
Rectangle 7:
- Length = 13 ft
- Width = 8 ft
- Area = \( 13 \times 8 = 104 \) square feet
8.
Rectangle 8:
- Length = 6 in
- Width = 5 in
- Area = \( 6 \times 5 = 30 \) square inches
9.
Rectangle 9:
- Length = 6 in
- Width = 4 in
- Area = \( 6 \times 4 = 24 \) square inches
####
Square:
10.
Square:
- Side = 15 in
- Area = \( 15 \times 15 = 225 \) square inches
Final Answers:
1. Rectangle 1: \( \boxed{21} \) square feet
2. Rectangle 2: \( \boxed{32} \) square meters
3. Rectangle 3: \( \boxed{55} \) square inches
4. Rectangle 4: \( \boxed{24} \) square feet
5. Rectangle 5: \( \boxed{56} \) square inches
6. Rectangle 6: \( \boxed{36} \) square feet
7. Rectangle 7: \( \boxed{104} \) square feet
8. Rectangle 8: \( \boxed{30} \) square inches
9. Rectangle 9: \( \boxed{24} \) square inches
10. Square: \( \boxed{225} \) square inches
Explanation:
- For each rectangle, we multiplied the length by the width to find the area.
- For the square, since all sides are equal, we squared the side length to find the area.
- Units were kept consistent with the given dimensions (e.g., feet, meters, inches).
This method ensures accuracy and follows the basic principles of calculating areas for rectangles and squares.
Final Answer:
\[
\boxed{21, 32, 55, 24, 56, 36, 104, 30, 24, 225}
\]
Parent Tip: Review the logic above to help your child master the concept of area of a rectangle worksheet.
