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Calculate perimeter and area of each shape composed of unit squares.

Six geometric shapes made of unit squares, each with blank lines for calculating perimeter and area.

Six geometric shapes made of unit squares, each with blank lines for calculating perimeter and area.

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Show Answer Key & Explanations Step-by-step solution for: Area and Perimeter (Counting Squares) Worksheet
To solve the problem, we need to calculate the perimeter and area for each of the given shapes. Let's go through each shape step by step.

Shape 1:


- Perimeter: The perimeter is the total length of the boundary of the shape. Each side of a square is considered 1 cm.
- Count the outer edges: There are 18 edges.
- Perimeter = 18 cm.
- Area: The area is the number of squares inside the shape.
- Count the squares: There are 12 squares.
- Area = 12 cm².

Shape 2:


- Perimeter: Count the outer edges:
- There are 16 edges.
- Perimeter = 16 cm.
- Area: Count the squares:
- There are 9 squares.
- Area = 9 cm².

Shape 3:


- Perimeter: Count the outer edges:
- There are 14 edges.
- Perimeter = 14 cm.
- Area: Count the squares:
- There are 7 squares.
- Area = 7 cm².

Shape 4:


- Perimeter: Count the outer edges:
- There are 16 edges.
- Perimeter = 16 cm.
- Area: Count the squares:
- There are 8 squares.
- Area = 8 cm².

Shape 5:


- Perimeter: Count the outer edges:
- There are 20 edges.
- Perimeter = 20 cm.
- Area: Count the squares:
- There are 10 squares.
- Area = 10 cm².

Shape 6:


- Perimeter: Count the outer edges:
- There are 20 edges.
- Perimeter = 20 cm.
- Area: Count the squares:
- There are 12 squares.
- Area = 12 cm².

Final Answers:


1. Perimeter = 18 cm, Area = 12 cm²
2. Perimeter = 16 cm, Area = 9 cm²
3. Perimeter = 14 cm, Area = 7 cm²
4. Perimeter = 16 cm, Area = 8 cm²
5. Perimeter = 20 cm, Area = 10 cm²
6. Perimeter = 20 cm, Area = 12 cm²

Boxed Answers:


\[
\boxed{
\begin{array}{ccc}
\text{Shape 1} & \text{Shape 2} & \text{Shape 3} \\
\text{Perimeter} = 18 \, \text{cm} & \text{Perimeter} = 16 \, \text{cm} & \text{Perimeter} = 14 \, \text{cm} \\
\text{Area} = 12 \, \text{cm}^2 & \text{Area} = 9 \, \text{cm}^2 & \text{Area} = 7 \, \text{cm}^2 \\
\text{Shape 4} & \text{Shape 5} & \text{Shape 6} \\
\text{Perimeter} = 16 \, \text{cm} & \text{Perimeter} = 20 \, \text{cm} & \text{Perimeter} = 20 \, \text{cm} \\
\text{Area} = 8 \, \text{cm}^2 & \text{Area} = 10 \, \text{cm}^2 & \text{Area} = 12 \, \text{cm}^2 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet works calculating area and perimeter answers.
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