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The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground is l and its width is w. The length of each side of the flower beds is a. Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds? Assume that the playground and beds do not overlap.
The total fencing material required to fence the playground and both flower beds is _
or _
.
The total fencing material required to fence the playground and both flower beds is either:
- 4l + 4w + 8a
- 2l + 2w + 8a
Note: The first expression includes the perimeter of the circle boundary, while the second expression only includes the lengths of the straight sides. Both expressions are equivalent in terms of the total amount of fencing material required.