What is the perimeter of the quadrilateral formed by joining the points P(-5, 1), Q(3, 7), R(6, 3), and S(-2, -3)? A. 30 Units

Question

What is the perimeter of the quadrilateral formed by joining the points P(-5, 1), Q(3, 7), R(6, 3), and S(-2, -3)?

A. 30 Units
B. 2\sqrt{17}+\sqrt{181}+4+\sqrt{53} units
C. 42 Units
D. 2\sqrt{13}+5+\sqrt{10} +\sqrt{37} units

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Margaret 1 week 2021-09-15T18:33:15+00:00 1 Answer 0

Answers ( )

    0
    2021-09-15T18:35:00+00:00

    Answer:

    The answer to your question is the letter A. 30 units

    Step-by-step explanation:

    Data

    P (-5, 1)

    Q (3, 7)

    R (6, 3)

    S (-2, -3)

    Process

    1.- Find the distance from P-Q, Q-R, R-S, and P-S

    dPQ = \sqrt{(3 + 5)^{2}+ (7 - 1)^{2}}

    dPQ = \sqrt{8^{2} + 6^{2}}

    dPQ = \sqrt{64 + 36}

    dPQ = \sqrt{100}

    dPQ = 10 units

    dQR = \sqrt{(6 - 3)^{2} + (3 - 7)^{2}}

    dQR = \sqrt{3^{2} + 4^{2}}

    dQR = \sqrt{9 + 16}

    dQR = \sqrt{25}

    dQR = 5 units

    dRS = \sqrt{(-2- 6)^{2}+ (-3 - 3)^{2}}

    dRS = \sqrt{-8^{2} - 6^{2}}

    dRS = \sqrt{64 + 36}

    dRS = \sqrt{100}

    dRS = 10 units

    dPS = \sqrt{(-2+ 5)^{2}+ (-3 - 1)^{2}}

    dPS = \sqrt{3^{2} - 4^{2}}

    dPS = \sqrt{9 + 16}

    dPS = \sqrt{25}

    dPS = 5 units

    2.- Calculate the Perimeter

    Perimeter = 10 + 5 + 10 + 5

                   = 30 units

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45:7+7-4:2-5:5*4+35:2 =? ( )