Task 5.4. Masha drew two little people in her notebook. The area of each cell is 1.

Which of the little people has a larger area?

What is the difference? If the areas are the same, write "0" in the answer.
![](https://cdn.mathpix.com/cropped/2024_05_06_32e5791ee8081231aabeg-3.jpg?height=480&width=892&top_left_y=1120&top_left_x=284)
Answer: The area of the right human figure is 2 more than the area of the left one.

Solution. Let's calculate the areas of the human figures.

As can be seen from the figure on the right, the first human figure consists of

- 8 whole cells,
- 6 small triangles (each of which is equal to half a cell),
- 2 large triangles (each of which is equal to half a rectangle $1 \times 2$).

Every two small triangles "add up to one whole cell" in total, so their total area is 1. Every two large triangles "add up to one rectangle $1 \times 2$" in total, so their total area is 2.

Then the area of the first human figure is

$$
8 \cdot 1 + 3 \cdot 1 + 1 \cdot 2 = 13
$$

As can be seen from the figure on the right, the second human figure consists of

- 4 whole cells,
- 6 small triangles (each of which is equal to half a cell),
- 8 large triangles (each of which is equal to half a rectangle $1 \times 2$).

![](https://cdn.mathpix.com/cropped/2024_05_06_32e5791ee8081231aabeg-4.jpg?height=474&width=415&top_left_y=748&top_left_x=933)

Then the area of the second human figure is

$$
4 \cdot 1 + 3 \cdot 1 + 4 \cdot 2 = 15
$$

Thus, the area of the second (right) human figure is 2 more than the area of the first (left) one.