The coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 when point D is placed on this square what will the perimeter of the square be?

The perimeter of square will be 18 units

Step-by-step explanation:

We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )

When point D is placed on this perimeter.

We have to find the perimeter of the square.

First we have to find the side of square by using the distance formula

Distance formula

Coordinates of A=(-5/2,3/2)

Coordinates of B=(-5/2,-3)

Length of side AB=

Length of side AB=

Length of side AB=9/2 units

Now, the perimeter of square=4 (side)

Using the formula

Perimeter of square=4(9/2)=18 units