A local park is building a new playground and needs to know how much fencing to buy the park authority creates a map of the area with the coordinates
of the corners of the playground: (0,0), (0,10), (10,10), and (10,0).
To calculate the perimeter of the playground and determine how much fencing to buy, we can use the distance formula to find the distances between each pair of adjacent corners:
1. Distance between (0,0) and (0,10) is √((0-0)^2 + (10-0)^2) = 10 units.
2. Distance between (0,10) and (10,10) is √((0-10)^2 + (10-10)^2) = 10 units.
3. Distance between (10,10) and (10,0) is √((10-10)^2 + (10-0)^2) = 10 units.
4. Distance between (10,0) and (0,0) is √((10-0)^2 + (0-0)^2) = 10 units.
Now, we add up the distances to find the total perimeter:
10 + 10 + 10 + 10 = 40 units
Therefore, the park will need to buy 40 units of fencing for the new playground.