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The Smith Construction Company has been hired to install a new water fountain at Jimmy Smith Park. They would like to find the best location for the fountain so that the walking distance from each of the three main pieces of the playground equipment is the same. How would they determine this point?

a) Measure the distance from each playground equipment and find the intersection point of the circles with equal radii.
b) Place the fountain randomly and hope for equal distances.
c) Use a compass to draw circles around each playground equipment and find the center where all circles intersect.
d) Calculate the average distance from each equipment and place the fountain there.

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This method involves creating circles around each piece of playground equipment with the radius being the desired walking distance. The point where all three circles intersect is the location where the walking distance from each playground equipment is the same. So, c) Use a compass to draw circles around each playground equipment and find the center where all circles intersect.

To determine the best location for the water fountain at Jimmy Smith Park with equal walking distances from each of the three main pieces of playground equipment, the Smith Construction Company should follow option c. Using a compass to draw circles around each playground equipment, with the radius representing the desired walking distance, allows for the identification of the point where all circles intersect. This point serves as the optimal location, ensuring an equal distance from each piece of equipment.

This geometric approach guarantees a fair distribution of the walking distance, enhancing accessibility and convenience for park visitors. Unlike option a, which involves precise measurement, or option d, based on averages that might not align with an actual intersection point, option c offers a methodical and visually intuitive way to pinpoint the ideal location for the water fountain.

User Mike Lentini
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