To find the area of each compound shape, we first need to determine the size of one square on the grid.
Step 1: Find the area of one small square.
The image shows that 3 grid squares equal 3 cm in length.
* Length of 3 squares = 3 cm
* Length of 1 square = $3 \text{ cm} \div 3 = 1 \text{ cm}$
Since each small square is 1 cm wide and 1 cm tall, the area of
one small square is $1 \text{ cm}^2$.
Now, we just need to count how many small squares make up each lettered shape to find its total area.
Shape A:
* Count the squares: There are 4 squares.
* Area = $4 \times 1 \text{ cm}^2 = 4 \text{ cm}^2$
Shape B:
* Count the squares: There are 5 squares.
* Area = $5 \times 1 \text{ cm}^2 = 5 \text{ cm}^2$
Shape C:
* Count the squares: There are 8 squares.
* Area = $8 \times 1 \text{ cm}^2 = 8 \text{ cm}^2$
Shape D:
* Count the squares: There are 8 squares.
* Area = $8 \times 1 \text{ cm}^2 = 8 \text{ cm}^2$
Shape E:
* Count the squares: There are 10 squares.
* Area = $10 \times 1 \text{ cm}^2 = 10 \text{ cm}^2$
Shape G:
* Count the squares: There are 16 squares.
* Area = $16 \times 1 \text{ cm}^2 = 16 \text{ cm}^2$
Shape H:
* Count the squares: There are 12 squares.
* Area = $12 \times 1 \text{ cm}^2 = 12 \text{ cm}^2$
Shape I:
* Count the squares: There are 20 squares.
* Area = $20 \times 1 \text{ cm}^2 = 20 \text{ cm}^2$
Shape L:
* Count the squares: There are 24 squares.
* Area = $24 \times 1 \text{ cm}^2 = 24 \text{ cm}^2$
*(Note: Shapes F, J, and K are cut off in the image, so their areas cannot be calculated.)*
Final Answer:
A: 4 cm²
B: 5 cm²
C: 8 cm²
D: 8 cm²
E: 10 cm²
G: 16 cm²
H: 12 cm²
I: 20 cm²
L: 24 cm²
Parent Tip: Review the logic above to help your child master the concept of area of composite figures worksheets.