Questions: A zoo plans to construct a fence around its proposed animal exhibit. The perimeter of the area to be fenced is 1550 ft. Estimate the number of wooden fence posts needed if the posts are placed 7.625 ft apart. Approximately wooden fence posts are needed.

A zoo plans to construct a fence around its proposed animal exhibit. The perimeter of the area to be fenced is 1550 ft. Estimate the number of wooden fence posts needed if the posts are placed 7.625 ft apart. Approximately wooden fence posts are needed.
Transcript text: A zoo plans to construct a fence around its proposed animal exhibit. The perimeter of the area to be fenced is 1550 ft. Estimate the number of wooden fence posts needed if the posts are placed 7.625 ft apart. Approximately $\square$ wooden fence posts are needed.
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Solution

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Solution Steps

To estimate the number of wooden fence posts needed, we need to divide the total perimeter by the distance between each post. This will give us the number of intervals between posts. Since the number of posts is one more than the number of intervals, we add one to the result.

Step 1: Calculate the Number of Intervals

To find the number of intervals between the fence posts, we divide the total perimeter by the distance between each post: \[ \text{Number of intervals} = \frac{1550}{7.625} \approx 203.2787 \]

Step 2: Calculate the Number of Posts

The number of posts is one more than the number of intervals: \[ \text{Number of posts} = \lfloor 203.2787 \rfloor + 1 = 203 + 1 = 204 \]

Final Answer

The number of wooden fence posts needed is \\(\boxed{204}\\).

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