The vertices of a quadrilateral in the coordinate plane are known. how can the perimeter of the figure be found?

a. use the distance formula to find the length of each side, and then add the lengths.
b. use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
c. use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
d. use the distance formula to find the length of the sides, and then multiply two of the side lengths.

(A)

Step-by-step explanation:

We know that perimeter of any quadrilateral is the sum of all the sides. In order to get the perimeter, we should know all the sides of the quadrilateral, thus all the sides can be determined by using the distance formula and then after getting the length of each of the side, add those sides to get the perimeter.

Therefore, to get the perimeter of the given quadrilateral, Use the distance formula to find the length of each side, and then add the lengths.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i