Flat Cat area worksheet for calculating the area of a geometric shape.

To find the area and perimeter of the "Flat Cat," we need to determine the size of each square block. In these types of math problems, unless a specific measurement is given (like "each side is 5 cm"), we assume that one small square equals 1 unit.

Let's break down the shape:
* Head: 1 square on top.
* Body: A vertical column of 3 squares below the head.
* Arms: 1 square sticking out to the left and 1 square sticking out to the right of the middle body square.

Step 1: Calculate the Area

The area is simply the amount of space inside the shape. We can find this by counting how many individual squares make up the cat.

1. Count the squares in the head: 1
2. Count the squares in the body (vertical part): 3
3. Count the squares in the arms (horizontal parts): 2

Total squares = $1 + 3 + 2 = 6$

So, the Area is 6 square units.

Step 2: Calculate the Perimeter

The perimeter is the total distance around the outside of the shape. We need to count the number of outer edges. Let's trace around the cat carefully.

Imagine each side of a small square has a length of 1 unit.

1. Top of Head: 1 edge (top) + 2 edges (sides of the head square) = 3
2. Left Arm:
* Top edge of left arm: 1
* Left edge of left arm: 1
* Bottom edge of left arm: 1
3. Right Arm:
* Top edge of right arm: 1
* Right edge of right arm: 1
* Bottom edge of right arm: 1
4. Bottom of Body: The bottom square of the body has 3 exposed edges (left, bottom, right) because its top connects to the square above it. Wait, let's look closer at the connections.

Let's trace the entire outline continuously to be sure:
* Start at the top-left corner of the head.
* Go Right across top of head: 1
* Go Down right side of head: 1
* Go Right across top of right arm: 1
* Go Down right side of right arm: 1
* Go Left across bottom of right arm: 1
* Go Down right side of bottom body square: 1
* Go Left across bottom of bottom body square: 1
* Go Up left side of bottom body square: 1
* Go Left across bottom of left arm: 1
* Go Up left side of left arm: 1
* Go Right across top of left arm: 1
* Go Up left side of head: 1

Let's double-check by counting all external sides:
* Head Square: Top, Left, Right are exposed. (Bottom connects to body). -> 3 sides
* Top Body Square: Left and Right are exposed? No, the arms attach to the *middle* body square. Let's look at the structure again.
* The shape is a cross with an extra square on top.
* Center square connects to: Top (head), Bottom (tail/body), Left (arm), Right (arm). So the center square has 0 external sides.
* Head square: Connects only to bottom. External sides: Top, Left, Right. -> 3 sides
* Left Arm square: Connects only to right. External sides: Top, Left, Bottom. -> 3 sides
* Right Arm square: Connects only to left. External sides: Top, Right, Bottom. -> 3 sides
* Middle Body square (below center): Connects to top (center) and bottom (lowest square). External sides: Left, Right. -> 2 sides
* Lowest Body square: Connects only to top. External sides: Left, Bottom, Right. -> 3 sides

Total Perimeter = $3 (\text{head}) + 3 (\text{left arm}) + 3 (\text{right arm}) + 2 (\text{mid-body}) + 3 (\text{low-body}) = 14$

Let's re-verify by tracing the perimeter visually:
1. Top of head: 1
2. Right side of head: 1
3. Top of right arm: 1
4. Right side of right arm: 1
5. Bottom of right arm: 1
6. Right side of lower-middle body square: 1
7. Right side of bottom body square: 1
8. Bottom of bottom body square: 1
9. Left side of bottom body square: 1
10. Left side of lower-middle body square: 1
11. Bottom of left arm: 1
12. Left side of left arm: 1
13. Top of left arm: 1
14. Left side of head: 1

Total count is 14.

So, the Perimeter is 14 units.

Final Answer:
Perimeter: 14 units
Area: 6 square units