geometry

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find the perimeter of the polygon with vertices A(-5,-3) B(1,0) C (3,-4) D(-3,-7)

  • geometry -

    The distance between two given points P1(x1,y1) and P2(x2,y2) in the coordinate plane is given by the expression:
    distance P1-P2 = sqrt((x2-x1)^2+(y2-y1)^2)
    A(-5,-3) B(1,0) C (3,-4) D(-3,-7)
    For example, the distance
    AB = sqrt((1-(-5))^2+(0-(-3))^2)
    = sqrt(6^2+3^2)
    = sqrt(45)
    = 6.708...(approx.)

    Proceed the same way for BC, CD and CA and add up the four distances to get the perimeter.

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