There may be a simpler way to solve this question, however if you are currently learning distance formula, then this may be the correct way to solve it.

Answer: D

Step-by-step explanation:To find the perimeter of this parallelogram, you would have to find the distance between the coordinates.

I would use the distance formula for this question.

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

Ok, let's find the length of side AB.

Coordinates of A = (-5, -7) This will be our second x and y coordinates [ $x_2,y2$ ]

Coordinates of B = (2, -3) These will be our first x and y coordinates [ $x_1,y1$ ]

Now Substitute Into The Equation -

$d=\sqrt{(-5-2)^{2} +(-7-(-3))^{2} }$

Solve/Simplify -

$\sqrt{(-5-2)^2+(-7-(-3))^2} \\ \\ \sqrt{(-5-2)^2+(-7+3)^2} \\\\\sqrt{(-7)^2+(-4)^2}\\\\ \sqrt{49+16} \\\\ \sqrt{65}$

Great! We have the first distance for the perimeter.

Now let's solve for side CB

Point C = (-1, 2) This will be our second x and y coordinates [ $x_2,y2$ ]

Point B = (2, -3) These will be our first x and y coordinates [ $x_1,y1$ ]

Substitute and Solve -

$\sqrt{(-1-2)^2+(2-(-3))^2}\\\\sqrt{(-1-2)^2+(2+3)^2}\\\\\ \sqrt{(-3)^2+(5)^2}\\\\ \sqrt{9+25}\\\\\sqrt{34}$

Now we have our second distance for the perimeter.

Now solve for the other two sides -

Because this shape is a rectangle, the parallel lines are the same length.

Now, find the perimeter-

$\sqrt{65}+ \sqrt{65}+ \sqrt{34} +\sqrt{34}$

That equals about 27.79, rounding up to 27.8

Hoped this helped!~

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