Question

What is the answer to this question

Answer 1

Answer:

B

Step-by-step explanation:

If you calculate the side of a square using pythagorean theorem, you would get a side length of sqrt37. Simple multiply this by 4

Answer 2

Answer: second option.

Step-by-step explanation:

The formula that is used to calculate the perimeter of a square is:

$P=4s$

Where s is the lenght of any side of the square.

To know the lenght of a side of this square, you need to use the formula for calculate the distance between two points:

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

Let's choose the points of the vertices A and B and substitute them into the formula:

$d=s=\sqrt{(3-2)^2+(4-(-2))^2}=\sqrt{37}units$

Substituting into $P=4s$, you get:

$P=4(\sqrt{37}units)\\P=4\sqrt{37}units$