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Polygons on the Coordinate Plane — Mixed

Find each side length from the coordinates, then the perimeter or area the problem asks for.

ExampleThe polygon has vertices at (−5, 1), (0, 1), (0, 6) and (−5, 6).xy−6−6−4−4−2−2224466(−5, 1)(0, 1)(0, 6)(−5, 6)
Find the length of each side, then the perimeter.
The bottom side joins (−5, 1) and (0, 1). They share the same y, so the side is horizontal and its length is the difference of the x values: 0 − (−5) = 5. The left side joins two points with the same x, so its length is 6 − (1) = 5. Opposite sides match, so the perimeter is 2(5 + 5) = 20 units.
  1. 1.The polygon has vertices at (−5, −1), (1, −1), (1, 3) and (−5, 3).xy−6−6−4−4−2−2224466(−5, −1)(1, −1)(1, 3)(−5, 3)
    Find the length of each side, then the perimeter.
  2. 2.The polygon has vertices at (−2, −2), (1, −2), (1, 2) and (−2, 2).xy−6−6−4−4−2−2224466(−2, −2)(1, −2)(1, 2)(−2, 2)
    Find its width, its height and its area — without counting every square.
  3. 3.A garden is mapped on a grid where one unit is one meter. Its corners are at (0, −4), (3, −4), (3, −1) and (0, −1).xy−6−6−4−4−2−2224466(0, −4)(3, −4)(3, −1)(0, −1)
    Fencing costs $4 a meter. How much fencing is needed, and what will it cost?
  4. 4.The polygon has vertices at (−5, −3), (1, −3), (1, 0) and (−5, 0).xy−6−6−4−4−2−2224466(−5, −3)(1, −3)(1, 0)(−5, 0)
    Find the length of each side, then the perimeter.
  5. 5.The polygon has vertices at (−4, 0), (2, 0), (2, 4) and (−4, 4).xy−6−6−4−4−2−2224466(−4, 0)(2, 0)(2, 4)(−4, 4)
    Find the length of each side, then the perimeter.