To solve the problem of finding the
area and
perimeter of each rectangle, we will use the following formulas:
Formulas:
1.
Area of a Rectangle:
\[
\text{Area} = \text{Length} \times \text{Width}
\]
2.
Perimeter of a Rectangle:
\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
\]
Now, let's solve each rectangle step by step.
---
Rectangle 1:
-
Dimensions: Length = 4 cm, Width = 5 cm
-
Area:
\[
\text{Area} = 4 \, \text{cm} \times 5 \, \text{cm} = 20 \, \text{cm}^2
\]
-
Perimeter:
\[
\text{Perimeter} = 2 \times (4 \, \text{cm} + 5 \, \text{cm}) = 2 \times 9 \, \text{cm} = 18 \, \text{cm}
\]
Answer for Rectangle 1:
\[
\boxed{\text{Area: } 20 \, \text{cm}^2, \text{ Perimeter: } 18 \, \text{cm}}
\]
---
Rectangle 2:
-
Dimensions: Length = 3 cm, Width = 4 cm
-
Area:
\[
\text{Area} = 3 \, \text{cm} \times 4 \, \text{cm} = 12 \, \text{cm}^2
\]
-
Perimeter:
\[
\text{Perimeter} = 2 \times (3 \, \text{cm} + 4 \, \text{cm}) = 2 \times 7 \, \text{cm} = 14 \, \text{cm}
\]
Answer for Rectangle 2:
\[
\boxed{\text{Area: } 12 \, \text{cm}^2, \text{ Perimeter: } 14 \, \text{cm}}
\]
---
Rectangle 3:
-
Dimensions: Length = 7 cm, Width = 5 cm
-
Area:
\[
\text{Area} = 7 \, \text{cm} \times 5 \, \text{cm} = 35 \, \text{cm}^2
\]
-
Perimeter:
\[
\text{Perimeter} = 2 \times (7 \, \text{cm} + 5 \, \text{cm}) = 2 \times 12 \, \text{cm} = 24 \, \text{cm}
\]
Answer for Rectangle 3:
\[
\boxed{\text{Area: } 35 \, \text{cm}^2, \text{ Perimeter: } 24 \, \text{cm}}
\]
---
Rectangle 4:
-
Dimensions: Length = 6 cm, Width = 2 cm
-
Area:
\[
\text{Area} = 6 \, \text{cm} \times 2 \, \text{cm} = 12 \, \text{cm}^2
\]
-
Perimeter:
\[
\text{Perimeter} = 2 \times (6 \, \text{cm} + 2 \, \text{cm}) = 2 \times 8 \, \text{cm} = 16 \, \text{cm}
\]
Answer for Rectangle 4:
\[
\boxed{\text{Area: } 12 \, \text{cm}^2, \text{ Perimeter: } 16 \, \text{cm}}
\]
---
Rectangle 5:
-
Dimensions: Length = 4 cm, Width = 4 cm
-
Area:
\[
\text{Area} = 4 \, \text{cm} \times 4 \, \text{cm} = 16 \, \text{cm}^2
\]
-
Perimeter:
\[
\text{Perimeter} = 2 \times (4 \, \text{cm} + 4 \, \text{cm}) = 2 \times 8 \, \text{cm} = 16 \, \text{cm}
\]
Answer for Rectangle 5:
\[
\boxed{\text{Area: } 16 \, \text{cm}^2, \text{ Perimeter: } 16 \, \text{cm}}
\]
---
Rectangle 6:
-
Dimensions: Length = 5 cm, Width = 1 cm
-
Area:
\[
\text{Area} = 5 \, \text{cm} \times 1 \, \text{cm} = 5 \, \text{cm}^2
\]
-
Perimeter:
\[
\text{Perimeter} = 2 \times (5 \, \text{cm} + 1 \, \text{cm}) = 2 \times 6 \, \text{cm} = 12 \, \text{cm}
\]
Answer for Rectangle 6:
\[
\boxed{\text{Area: } 5 \, \text{cm}^2, \text{ Perimeter: } 12 \, \text{cm}}
\]
---
Final Answers:
1. \(\boxed{\text{Area: } 20 \, \text{cm}^2, \text{ Perimeter: } 18 \, \text{cm}}\)
2. \(\boxed{\text{Area: } 12 \, \text{cm}^2, \text{ Perimeter: } 14 \, \text{cm}}\)
3. \(\boxed{\text{Area: } 35 \, \text{cm}^2, \text{ Perimeter: } 24 \, \text{cm}}\)
4. \(\boxed{\text{Area: } 12 \, \text{cm}^2, \text{ Perimeter: } 16 \, \text{cm}}\)
5. \(\boxed{\text{Area: } 16 \, \text{cm}^2, \text{ Perimeter: } 16 \, \text{cm}}\)
6. \(\boxed{\text{Area: } 5 \, \text{cm}^2, \text{ Perimeter: } 12 \, \text{cm}}\)
Parent Tip: Review the logic above to help your child master the concept of area and perimeter rectangle worksheet.
