To find the perimeter of the shape formed by the coordinates A, B, C, and D, we need to add up the lengths of all four sides.
Side AB:
Length = sqrt((1-(-5))^2 + (10-10)^2) = sqrt(6^2) = 6 yards
Side BC:
Length = sqrt((1-1)^2 + (-12-10)^2) = sqrt((-22)^2) = 22 yards
Side CD:
Length = sqrt((-5-1)^2 + (-12-(-12))^2) = sqrt((-6)^2) = 6 yards
Side DA:
Length = sqrt((-5-(-5))^2 + (-12-10)^2) = sqrt(6^2) = 6 yards
Now, add up all the sides:
Perimeter = 6 + 22 + 6 + 6 = 40 yards
Therefore, 40 yards of fencing is needed for the playground.
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).(1 point) Responses 16 yards 16 yards 56 yards 56 yards 12 yards 12 yards 72 yards
1 answer