Is this statement true or false? The area of a polygon with \( n \) sides, side length \( s \), and apothem \( a \) is \( A=\frac{1}{2} \) ans. false
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The area of a regular polygon with \( n \) sides, side length \( s \), and apothem \( a \) is given by the formula \( A = \frac{1}{2} \times n \times s \times a \). So, while the general structure of the statement is on the right track, the term "ans" seems to be a typographical error, making the overall statement false. In practice, understanding how to find the area of polygons helps in architecture and engineering, where calculating space efficiently is essential. For example, when designing parks or buildings, knowing how to use the area formulas can help optimize land use and functionality, making spaces more enjoyable for the community.