9514 1404 393
 30 m²
Step-by-step explanation:
The figure can be thought of as a 6 m × 6 m square with a triangle cut off of the corner. That triangle has a base of 6-3 = 3 m, and a height of 6-2 = 4 m. Then the area of the figure is ...
 pen area = square area - triangle area
 pen area = (6 m)² - (1/2)(3 m)(4 m)
 pen area = 36 m² -6 m²
 pen area = 30 m²
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The formula for the area of a square of side s is ...
 A = s²
The formula for the area of a triangle with base b and height h is ...
 A = (1/2)bh
It is useful to remember these formulas.