Final answer:
Option (A), The total fencing material required to fence a playground with dimensions l and w, and two square flower beds with side a, is calculated as 2(l + w) for the playground and 8a for both flower beds, summing up to 2(l + w) + 2(4a).
Step-by-step explanation:
When trying to find the total fencing material required to fence a playground and both flower beds, one needs to consider the shape and dimensions of these areas. Typically, for any four-sided area like a playground with length l and width w, the perimeter would be calculated as 2(l + w). If the flower beds are squares with side a, the total length of fencing for one flower bed would be 4a (since a square has four equal sides).
Assuming there are two identical flower beds, the total fencing for both would be 2(4a) or 8a. Thus, the total fencing material for the playground and both flower beds would be 2(l + w) + 8a. Therefore, the correct formula out of the options provided is A. 2(l + w) + 2(4a).