Question

A city planner designs a park that is a quadrilateral with vertices at J(-1, 1), K (3, 3), L (5, -1), and

Answer 1

9514 1404 393

Answer:

  83 m

Step-by-step explanation:

The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...

  8.26(10 m) = 82.6 m ≈ 83 m

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The distance formula will tell you the distances are ...

  AC = √(3² +1²) = √10

  BD = √(5² +1²) = √26

The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.