
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

The grid consists of small squares with $1 \mathrm{~cm}$ side length.

a) What is the grey area of the following grid?

![](https://cdn.mathpix.com/cropped/2024_05_01_3fc4f3a6ef7302a792fcg-13.jpg?height=354&width=667&top_left_y=1417&top_left_x=798)

b) What is the grey area of the following grid?

![](https://cdn.mathpix.com/cropped/2024_05_01_3fc4f3a6ef7302a792fcg-13.jpg?height=341&width=669&top_left_y=2050&top_left_x=794)

c) What is the area of the white part of the grid, knowing that the dark grey area (2 quadrilaterals and 1 triangle) is $4 \mathrm{~cm}^{2}$?

![](https://cdn.mathpix.com/cropped/2024_05_01_3fc4f3a6ef7302a792fcg-14.jpg?height=394&width=763&top_left_y=416&top_left_x=549)

Present the answer in LaTex format: \boxed{Your answer}
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