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A pond is surrounded by a fence 1.5 m away from the pond on all sides. The pond is made of a rectangle (9m x 5.5m) and a semicircle. What is the perimeter of the fence?

Mathematics

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Here's the solution to Activity 5:

5.1 Determine the perimeter of the fence.

Step 1: Determine the dimensions of the fenced area.
The pond consists of a rectangular part and a semicircular part.

  • The rectangular part of the pond has a length of 9 m9 \text{ m} and a width of 5.5 m5.5 \text{ m}.
  • The fence is placed 1.5 m1.5 \text{ m} away from the pond on all sides.

Let's calculate the dimensions of the outer fence:

  • The total width of the fenced area (which will be the diameter of the fence's semicircle and the length of the straight vertical side) is the pond's width plus 1.5 m1.5 \text{ m} on
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