Answer: [tex]161.8 \text{ cm}^2[/tex]
Step-by-step explanation:
The length of the other leg of the triangle is [tex]\sqrt{30^2-27.6^2}[/tex].
Therefore, the area of the triangle is [tex]\frac{1}{2} \cdot 27.6 \cdot \sqrt{30^2-27.6^2} \approx 162.2[/tex], which is closest to 161.8 square cm.