A rectangular swimming pool has a length of 25 meters and a width of 10 meters. To surround the pool, a walkway that is 2 meters wide is being constructed. Calculate the total area of the walkway around the pool. Provide your answer in square meters.
First, calculate the dimensions of the pool including the walkway. The total length of the pool plus the walkway on both ends is:
$$L_{total} = L_{pool} + 2 imes W_{walkway}$$
And the total width of the pool plus the walkway on both sides is:
$$W_{total} = W_{pool} + 2 imes W_{walkway}$$
Then compute the area of the pool and the area of the entire region (pool + walkway). The area of the walkway is the difference:
$$A_{walkway} = A_{total} - A_{pool}$$