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).(1 point)
Responses
To find the perimeter, we need to calculate the distance between each set of coordinates and then add them up.
From A to B:
Distance = √((1 - (-5))^2 + (10 - 10)^2)
Distance = √(6^2)
Distance = √36
Distance = 6 yards
From B to C:
Distance = √((1 - 1)^2 + (-12 - 10)^2)
Distance = √((-22)^2)
Distance = √484
Distance = 22 yards
From C to D:
Distance = √((-5 - 1)^2 + (-12 - (-12))^2)
Distance = √(-6^2)
Distance = √36
Distance = 6 yards
From D to A:
Distance = √((-5 - (-5))^2 + (-12 - 10)^2)
Distance = √((-22)^2)
Distance = √484
Distance = 22 yards
Adding up all the distances gives us the perimeter:
6 yards + 22 yards + 6 yards + 22 yards = 56 yards
Therefore, the park needs to buy 56 yards of fencing for the new playground.