
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
Mr. Kostkorád owned a rectangular garden, on which he gradually paved walkways from one side to the other. The walkways were of equal width, intersected at two points, and a previously paved area was skipped during subsequent paving.

When Mr. Kostkorád paved a walkway parallel to the longer side, he used $228 \mathrm{~m}^{2}$ of paving stones. Then, he paved a walkway parallel to the shorter side and used $117 \mathrm{~m}^{2}$ of paving stones.

Finally, he paved another walkway parallel to the first walkway, this time using only $219 \mathrm{~m}^{2}$ of paving stones.

Determine the dimensions of Kostkorád's garden.

(M. Petrová)

Hint: Why was less paving used for the third walkway compared to the first?

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