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Coordinate Plane: Real-World Problems

Find the side lengths from the coordinates, then decide whether the question wants perimeter or area.

ExampleA garden is mapped on a grid where one unit is one meter. Its corners are at (-5, -2), (-2, -2), (-2, 3) and (-5, 3).xy-6-6-4-4-2-2224466(-5, -2)(-2, -2)(-2, 3)(-5, 3)
Fencing costs $6 a meter. How much fencing is needed, and what will it cost?
The sides are -2 − (-5) = 3 m and 3 − (-2) = 5 m. Fencing goes all the way round, so it is the perimeter: 2(3 + 5) = 16 m. Cost = 16 × $6 = $96. (Fencing follows the perimeter, not the area — area would be for turf or paving.)
  1. 1.A garden is mapped on a grid where one unit is one meter. Its corners are at (−5, 1), (−2, 1), (−2, 5) and (−5, 5).xy−6−6−4−4−2−2224466(−5, 1)(−2, 1)(−2, 5)(−5, 5)
    Fencing costs $5 a meter. How much fencing is needed, and what will it cost?
  2. 2.A garden is mapped on a grid where one unit is one meter. Its corners are at (−3, −4), (1, −4), (1, 0) and (−3, 0).xy−6−6−4−4−2−2224466(−3, −4)(1, −4)(1, 0)(−3, 0)
    Fencing costs $5 a meter. How much fencing is needed, and what will it cost?
  3. 3.A garden is mapped on a grid where one unit is one meter. Its corners are at (0, −1), (4, −1), (4, 4) and (0, 4).xy−6−6−4−4−2−2224466(0, −1)(4, −1)(4, 4)(0, 4)
    Fencing costs $6 a meter. How much fencing is needed, and what will it cost?
  4. 4.A garden is mapped on a grid where one unit is one meter. Its corners are at (−2, −3), (2, −3), (2, 1) and (−2, 1).xy−6−6−4−4−2−2224466(−2, −3)(2, −3)(2, 1)(−2, 1)
    Fencing costs $4 a meter. How much fencing is needed, and what will it cost?
  5. 5.A garden is mapped on a grid where one unit is one meter. Its corners are at (−1, −2), (5, −2), (5, 0) and (−1, 0).xy−6−6−4−4−2−2224466(−1, −2)(5, −2)(5, 0)(−1, 0)
    Fencing costs $5 a meter. How much fencing is needed, and what will it cost?