Final answer:
To calculate the area of the walkway around the pool, we find the total area including the walkway, then subtract the pool's area. The walkway measures 56 square meters.
Step-by-step explanation:
The student asked about finding the area of a walkway surrounding a pool, which is a mathematical problem involving geometry and area calculation.
To find the area of the walkway, we must first determine the dimensions of the entire area including the pool and the walkway. With the pool being 4 meters wide and 6 meters long, adding a 2-meter wide walkway around it would increase each dimension by 4 meters (2 meters on each side). Therefore, the overall dimensions are 8 meters wide (4 + 2 + 2) and 10 meters long (6 + 2 + 2).
The area of the entire rectangle (pool and walkway) is 8 m × 10 m = 80 square meters. However, we need to subtract the area of the pool itself to get just the walkway area. The pool's area is 4 m × 6 m = 24 square meters. Subtracting this from the total area, we get 80 m² - 24 m² = 56 square meters which is the area of just the walkway. Therefore, the correct answer is A) 56 square meters.