A square garden has six poles along each side at equal interval. How many poles are there in all four sides?

1 answer

To determine the total number of poles in the square garden, start by noting that the garden has four sides. Each side of the square has 6 poles placed at equal intervals.

However, if the poles on the corners of the square are being counted for both adjacent sides, this will lead to double-counting the corner poles. Since there are 4 corners in a square, we will need to adjust our count accordingly.

Here's how to calculate it:

  1. Each side has 6 poles.
  2. The poles at the corners are counted in both adjacent sides. Since there are 4 corners, they are included in our total of 6 poles for each side.

So, the total must be computed as follows:

  • Total poles if counted as is: \( 4 \text{ sides} \times 6 \text{ poles per side} = 24 \text{ poles} \)
  • Subtract the 4 corner poles that are counted twice: \( 24 - 4 = 20 \).

Thus, the total number of distinct poles around the square garden is \( 20 \).

Final answer: There are 20 poles in total.

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