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).

Question

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

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1 answer
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Answer 1

Bot GPT 3.5 answered
2 months ago

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.