Question

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Answer 1

Answer:

Option B, 14.6 units

Step-by-step explanation:

Step 1:  Find the distance of AB

$AB =$ $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

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

$AB =$ $\sqrt{(2)^2 + (2)^2}$

$AB =$ $2\sqrt{2}$ or 2.83...

Step 2:  Find the distance of BC

$BC =$ $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

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

$BC = \sqrt{(2)^2 + (-4)^2}$

$BC = \sqrt{4 + 16}$

$BC = \sqrt{20}$

$BC = 2\sqrt{5}$ or 4.47...

Step 3:  Find the perimeter

AB is the same as AD and BC is the same as DC

$2(AB) + 2(BC)$

$2(2.83) + 2(4.47)$

$5.66 + 8.94$

14.6 units

Answer: Option B, 14.6 units