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? asked in Science & MathematicsMathematics · 3 years ago

Find the perimeter of the polygon with the given vertices.?

1. K(−1, 1), L(4, 1), M(2, −2), N(−3, −2)

2.Q(−4, −1), R(1, 4), S(4, 1), T(−1, −4)

3 Answers

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  • David
    Lv 7
    3 years ago

    Use the distance formula from vertex to vertex then add the 4 sides together to find the perimeter of each quadrilateral.

  • ?
    Lv 7
    3 years ago

    Rule

    distance formula

    A(x1,y1) B(x2,y2)

    ---> AB= √[(x2-x1)^2 + (y2-y1)^2]

  • StruggleIsReal
    3 years ago

    1) Use the distance formula: √[(x2-x1)^2 + (y2-y1)^2]

    - the distance from K-L = 5

    - the distance from L-M = √5

    - the distance from M-N = 5

    - the distance from N-K = √5

    Perimeter = 5+ √5 + 5 + √5 = 10+2√5

    2) Use the distance formula: √[(x2-x1)^2 + (y2-y1)^2]

    - the distance from Q-R = √50

    - the distance from R-S = √18

    - the distance from S-T = √50

    - the distance from T-Q = √18

    Perimeter = √50+ √18 + √50 + √18 = 2√50 + 2√18

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