Final Answer:
c. 16 ft² the relationship between the total playground area and the specific area of a 4 ft² section within it, demonstrating that a 4 ft² section within the 2500 ft² playground corresponds to an area of 16 ft².
Explanation:
To find the area of a 4 ft² region within a 2500 ft² rectangular playground, divide the area of the playground by the total number of 4 ft² regions. The calculation is 2500 ft² ÷ 4 ft² = 625. This implies that within the entire playground area, there are 625 sections of 4 ft² each. Therefore, the area of a single 4 ft² section within this playground is 16 ft².
The method used to determine the area of a 4 ft² region within the 2500 ft² rectangular playground involves dividing the total area of the playground by the area of a single 4 ft² region.
This division yields the number of 4 ft² regions that can fit into the entire playground. The result of 625 indicates the quantity of 4 ft² sections present within the playground. Consequently, dividing the playground's total area by the count of these sections results in the area of a single 4 ft² region, which is found to be 16 ft².
This process showcases the relationship between the total playground area and the specific area of a 4 ft² section within it, demonstrating that a 4 ft² section within the 2500 ft² playground corresponds to an area of 16 ft².