25 POINTS AND BRAINIEST BADGE NO LINKS NO PICTURE FOR QUESTION A parallelogram has vertices at (-5, -1), (-2, -1), (

Question

25 POINTS AND BRAINIEST BADGE
NO LINKS
NO PICTURE FOR QUESTION

A parallelogram has vertices at (-5, -1), (-2, -1), (-3, -4), and (-6, -4). What is the approximate perimeter of the parallelogram? Round your answers to the nearest hundredth.
A. 9.16
B. 12 units
C. 12.32 units
D. 14

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Ben Gia 4 months 2021-07-17T08:58:50+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-17T09:00:43+00:00

    It is A because it can’t be B and it can’t be C and it can’t be D so my answer is A

    0
    2021-07-17T09:00:49+00:00

    Answer:

    12.32 units

    Step-by-step explanation:

    Use the distance formula to find the lengths between two points:

    d=\sqrt{(x_{2} -x_{1})^2+(y_{2}-y_{1})^2   }

    the distance between (-2, -1) and (-5,-1) is

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

    =\sqrt{3^2+0^2}

    =\sqrt{9}

    =3

    the distance between (-2, -1) and (-3, -4) is

    \sqrt{(-2-(-3))^2+(-1-(-4))^2}

    =\sqrt{1^2+3^2}

    =\sqrt{10}

    ≈3.16

    the distance between (-6, -4) and (-3, -4) is

    \sqrt{(-6-(-3))^2+(-4-(-4))^2}

    =\sqrt{(-3)^2+0^2}

    =\sqrt{9}

    =3

    the distance between (-6, -4) and (-5, -1) is

    \sqrt{(-6-(-5))^2+(-4-(-1)^2}

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

    =\sqrt{10}

    ≈3.16

    Now, add all the sides:

    3+3.16+3+3.16=12.32 units

    Note: A property of a parallelogram is that it has two pairs of congruent sides, so for this problem, you could solve for 2 different sides, double them, then add and you will get the same thing.

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