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.
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)
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