Answer:
The area of Polygon B is 25 times larger than the area of Polygon A.
Explanation:
The area of a polygon is the measure of the region enclosed by its sides. The formula for finding the area of a polygon depends on the shape of the polygon. For regular polygons, the formula is given by A = (1/2) * apothem * perimeter, where A is the area, apothem is the distance from the center of the polygon to the midpoint of a side, and perimeter is the sum of all sides.
In this case, Polygon B is a scaled copy of Polygon A using a scale factor 5. This means that all sides of Polygon B are 5 times longer than the corresponding sides of Polygon A. Therefore, if we denote the length of a side of Polygon A as "s", then the length of the corresponding side of Polygon B is "5s".
The scale factor for area is given by the square of the scale factor for length. In other words, if we denote the scale factor for length as "k", then the scale factor for area is "k^2". Therefore, in this case, since the scale factor for length is 5, the scale factor for area is 5^2 = 25.
Hence, the area of Polygon B is 25 times larger than the area of Polygon A.