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 A(−5,10), B(1,10), C(1,−12), and D(−5,−12). Each unit on the coordinate plane represents 1 yard. Solve to find out how many yards of fencing is needed (the perimeter).
56 yards
12 yards
16 yards
72 yards
To find the perimeter, we need to calculate the distance between each pair of points and add them up.
The distance between points A and B is 1 - (-5) = 6 units = 6 yards.
The distance between points B and C is 10 - (-12) = 22 units = 22 yards.
The distance between points C and D is 1 - (-5) = 6 units = 6 yards.
The distance between points D and A is 10 - (-12) = 22 units = 22 yards.
Adding all the distances together gives us:
6 + 22 + 6 + 22 = 56 yards
Therefore, the park needs 56 yards of fencing for the new playground.