Polygon area refers to the size of the figure enclosed by the plane figure, measured in unit square (such as square meter). Generally, we use a formula to calculate the area of a polygon, that is, S=0.5n×a×h, where n represents the number of sides of the polygon, a represents the length of the side of the polygon, and h represents the height.

The importance of polygon area lies in that it is the basis of calculating area in real social life, such as building construction, land survey and map drawing.

The area of polygon is widely used in various fields. In the field of architecture, polygon area is needed to calculate the land and building area and analyze the building materials needed for building construction.

In the field of design, we need to use polygon area to calculate the size of the pattern. In the field of geography, we need to use polygon area to calculate the area of each country and region in order to analyze natural resources, population distribution and economic development more effectively. Polygon area is also used in financial analysis, engineering design and other fields.

The formula for calculating polygon area can help us to calculate polygon area faster and more accurately. The variables in the formula can also help us analyze and compare different polygons, so as to seek the optimal solution in different tasks. For example, when designing houses and courtyards, we can determine the best scheme by calculating the areas of different polygons.

The calculation of polygon area is also of great significance to identify and distinguish different types of polygons. The area formulas of common polygons such as squares, rectangles and triangles have long been known. But in real life, we still need to calculate the area of irregular polygons.

In this case, we can decompose the polygon into several figures with the same or similar shapes, then calculate the area of these figures one by one, and finally find out the area of the whole figure.

In practical application, polygon area formula can also be used as a part of students' mathematics learning to cultivate their logical thinking and calculation ability. By calculating the polygon area of practical problems, students can not only master the use method of polygon area calculation formula, but also deepen their understanding of plane geometry and improve their problem-solving ability.

The area of polygon is an important calculation concept, which is widely used in all walks of life. It is not only helpful for us to better understand and analyze practical problems, but also an important part of learning mathematics and geometry.