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On level ground, a dog park is being built in the shape of an equilateral parallelogram with diagonals measuring 36.6 meters and 42.1 meters. A fence will be installed along the edges of the dog park.

Approximately what is the total length, in meters, of the fence that will be installed?

Answer :

Final answer:

To find the total length of the fence, we need to find the perimeter of the equilateral parallelogram. Using the formula side length = (√3/2) * diagonal length, the side length is approximately 28.7 meters. The total length of the fence is 114.8 meters.

Explanation:

To find the total length of the fence that will be installed, we need to find the perimeter of the equilateral parallelogram. Since the diagonals of the parallelogram have lengths 36.6 meters and 42.1 meters, we can use these lengths to find the side length of the parallelogram.

Using the formula side length = (√3/2) * diagonal length, we can find that the side length is approximately 28.7 meters.

Since an equilateral parallelogram has four sides of equal length, the total length of the fence that will be installed is 4 * side length = 4 * 28.7 = 114.8 meters.

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