Respuesta :

Answer:

B. 28.3

Step-by-step explanation:

Because this is a square, you just need to find the length of one side.

Let us pick one side:

Line EF

The coordinates of the two points of Line EF are (0,5) and (5,0)

The distance formula between two points is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

So we just fill in the formula and solve:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(5-0)^2+(0-5)^2}\\\\d=\sqrt{(5)^2+(-5)^2}\\\\d=\sqrt{25+25}\\\\d=\sqrt{50}\\\\ d=7.07 units[/tex]

Now that we have that, we just multiply it by 4.

7.07 units x 4 = 28.28 units or 28.3 units