Grade 5 Area and Perimeter Worksheets | Free Math Worksheets - Free Printable

Problem Overview:

The task involves finding the area and perimeter of each shape using a grid. Each square on the grid is assumed to be 1 cm wide and tall.

- Area: The total number of squares covered by the shape.
- Perimeter: The total length of the boundary of the shape, measured in centimeters.

Solution Approach:

1. Area Calculation:
- Count the number of squares completely covered by the shape.
- Each square represents 1 square centimeter (cm²).

2. Perimeter Calculation:
- Trace the outer boundary of the shape and count the number of edges along the boundary.
- Each edge represents 1 centimeter (cm).

Step-by-Step Solution for Each Shape:

#### Shape 1:
- Area: The shape covers 5 squares.
- Area = 5 cm²
- Perimeter: Trace the boundary. There are 12 edges.
- Perimeter = 12 cm

#### Shape 2:
- Area: The shape covers 5 squares.
- Area = 5 cm²
- Perimeter: Trace the boundary. There are 12 edges.
- Perimeter = 12 cm

#### Shape 3:
- Area: The shape covers 5 squares.
- Area = 5 cm²
- Perimeter: Trace the boundary. There are 12 edges.
- Perimeter = 12 cm

#### Shape 4:
- Area: The shape covers 4 squares.
- Area = 4 cm²
- Perimeter: Trace the boundary. There are 10 edges.
- Perimeter = 10 cm

#### Shape 5:
- Area: The shape covers 5 squares.
- Area = 5 cm²
- Perimeter: Trace the boundary. There are 12 edges.
- Perimeter = 12 cm

#### Shape 6:
- Area: The shape covers 6 squares.
- Area = 6 cm²
- Perimeter: Trace the boundary. There are 10 edges.
- Perimeter = 10 cm

#### Shape 7:
- Area: The shape covers 6 squares.
- Area = 6 cm²
- Perimeter: Trace the boundary. There are 14 edges.
- Perimeter = 14 cm

#### Shape 8:
- Area: The shape covers 4 squares.
- Area = 4 cm²
- Perimeter: Trace the boundary. There are 10 edges.
- Perimeter = 10 cm

#### Shape 9:
- Area: The shape covers 6 squares.
- Area = 6 cm²
- Perimeter: Trace the boundary. There are 10 edges.
- Perimeter = 10 cm

#### Shape 10:
- Area: The shape covers 4 squares.
- Area = 4 cm²
- Perimeter: Trace the boundary. There are 10 edges.
- Perimeter = 10 cm

#### Shape 11:
- Area: The shape covers 5 squares.
- Area = 5 cm²
- Perimeter: Trace the boundary. There are 12 edges.
- Perimeter = 12 cm

#### Shape 12:
- Area: The shape covers 6 squares.
- Area = 6 cm²
- Perimeter: Trace the boundary. There are 14 edges.
- Perimeter = 14 cm

Final Answers:

1. Area: 5 cm², Perimeter: 12 cm
2. Area: 5 cm², Perimeter: 12 cm
3. Area: 5 cm², Perimeter: 12 cm
4. Area: 4 cm², Perimeter: 10 cm
5. Area: 5 cm², Perimeter: 12 cm
6. Area: 6 cm², Perimeter: 10 cm
7. Area: 6 cm², Perimeter: 14 cm
8. Area: 4 cm², Perimeter: 10 cm
9. Area: 6 cm², Perimeter: 10 cm
10. Area: 4 cm², Perimeter: 10 cm
11. Area: 5 cm², Perimeter: 12 cm
12. Area: 6 cm², Perimeter: 14 cm

Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
1. & \text{Area: } 5 \text{ cm}^2, \text{ Perimeter: } 12 \text{ cm} \\
2. & \text{Area: } 5 \text{ cm}^2, \text{ Perimeter: } 12 \text{ cm} \\
3. & \text{Area: } 5 \text{ cm}^2, \text{ Perimeter: } 12 \text{ cm} \\
4. & \text{Area: } 4 \text{ cm}^2, \text{ Perimeter: } 10 \text{ cm} \\
5. & \text{Area: } 5 \text{ cm}^2, \text{ Perimeter: } 12 \text{ cm} \\
6. & \text{Area: } 6 \text{ cm}^2, \text{ Perimeter: } 10 \text{ cm} \\
7. & \text{Area: } 6 \text{ cm}^2, \text{ Perimeter: } 14 \text{ cm} \\
8. & \text{Area: } 4 \text{ cm}^2, \text{ Perimeter: } 10 \text{ cm} \\
9. & \text{Area: } 6 \text{ cm}^2, \text{ Perimeter: } 10 \text{ cm} \\
10. & \text{Area: } 4 \text{ cm}^2, \text{ Perimeter: } 10 \text{ cm} \\
11. & \text{Area: } 5 \text{ cm}^2, \text{ Perimeter: } 12 \text{ cm} \\
12. & \text{Area: } 6 \text{ cm}^2, \text{ Perimeter: } 14 \text{ cm} \\
\end{array}
}
\]