Find the area of each shape by counting the number of same-size squares in this math worksheet.

To solve this problem, we need to count the number of small squares inside each shape. The directions tell us that counting these squares gives us the area in square centimeters.

Problem 1:
- Look at the first shape (top left).
- It is a rectangle.
- Count the squares across the top: there are 3 squares.
- Count the squares down the side: there are 4 squares.
- Total squares = $3 \times 4 = 12$.
- Alternatively, count them one by one: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
- The area is 12 square centimeters.

Problem 2:
- Look at the second shape (top right).
- Count the squares across the top: there are 9 squares.
- Count the squares down the side: there are 4 squares.
- Total squares = $9 \times 4 = 36$.
- The area is 36 square centimeters.

Problem 3:
- Look at the third shape (middle left).
- Count the squares across the top: there are 7 squares.
- Count the squares down the side: there are 4 squares.
- Total squares = $7 \times 4 = 28$.
- The area is 28 square centimeters.

Problem 4:
- Look at the fourth shape (middle right).
- Count the squares across the top: there are 6 squares.
- Count the squares down the side: there are 2 squares.
- Total squares = $6 \times 2 = 12$.
- The area is 12 square centimeters.

Problem 5:
- Look at the fifth shape (bottom left). It is an L-shape.
- Let's count the top horizontal part: It is 6 squares wide and 2 squares tall. That's $6 \times 2 = 12$ squares.
- Now look at the bottom vertical part that sticks down. It is 3 squares wide. Wait, let's recount carefully.
- Let's just count every single square directly.
- Top row: 6 squares.
- Second row: 6 squares.
- Third row: 3 squares (on the right side).
- Fourth row: 3 squares.
- Fifth row: 3 squares.
- Sixth row: 3 squares.
- Total = $6 + 6 + 3 + 3 + 3 + 3 = 24$.
- Let's try counting by columns instead.
- Leftmost column: 2 squares.
- Next 4 columns: 2 squares each ($4 \times 2 = 8$).
- Rightmost 2 columns: 6 squares each ($2 \times 6 = 12$).
- Total = $2 + 8 + 12 = 22$.
- Let me recount the shape visually.
- Top block: 6 wide, 2 high. Area = 12.
- Bottom block attached to the right side: It looks like it is 3 squares wide and 4 squares high.
- Wait, let's look at the grid lines.
- Top section: 6 squares wide, 2 squares high. Total = 12.
- Bottom section: The rightmost 3 columns extend down. How many more rows?
- The top section covers rows 1 and 2.
- The bottom section covers rows 3, 4, 5, and 6.
- So the bottom section is 3 squares wide and 4 squares high. Area = $3 \times 4 = 12$.
- Total Area = Top Section (12) + Bottom Section (12) = 24.
- Let me re-verify the width of the bottom section.
- Looking at the grid, the total width is 6 squares. The bottom part starts at column 4 (counting from left). So columns 4, 5, 6 are the bottom part. That is 3 squares wide.
- The height of the bottom part starts at row 3 and goes to row 6. That is 4 rows high.
- So the bottom part is $3 \times 4 = 12$ squares.
- The top part is 6 squares wide and 2 squares high. That is $6 \times 2 = 12$ squares.
- Total = $12 + 12 = 24$.
- The area is 24 square centimeters.

Problem 6:
- Look at the sixth shape (bottom right). It is a large L-shape.
- Let's break it into two rectangles.
- Vertical rectangle on the left: It is 3 squares wide. How tall? It goes from top to bottom. Let's count rows: 1, 2, 3, 4, 5, 6, 7, 8. So it is 8 squares tall.
- Area of vertical part = $3 \times 8 = 24$.
- Horizontal rectangle on the bottom right: It attaches to the bottom of the vertical part.
- The total width of the bottom is... let's count the bottom row squares. 1, 2, 3 (part of vertical), 4, 5, 6, 7. So total width is 7 squares.
- The vertical part takes up the first 3 squares. So the remaining horizontal part is $7 - 3 = 4$ squares wide.
- The height of this horizontal part is 3 squares (rows 6, 7, 8).
- Wait, let's recount the height of the vertical part.
- Rows: 1, 2, 3, 4, 5, 6, 7, 8. Yes, 8 rows.
- Let's recount the horizontal part.
- The shape has a vertical column of width 3.
- And a bottom row section.
- Let's just count the total squares directly to be safe.
- Columns 1, 2, 3: All 8 rows are filled. $3 \text{ columns} \times 8 \text{ rows} = 24$ squares.
- Columns 4, 5, 6, 7: Only the bottom 3 rows are filled. $4 \text{ columns} \times 3 \text{ rows} = 12$ squares.
- Total squares = $24 + 12 = 36$.
- The area is 36 square centimeters.

Final Answer:
1. 12 sq. cm
2. 36 sq. cm
3. 28 sq. cm
4. 12 sq. cm
5. 24 sq. cm
6. 36 sq. cm