Answer : The perimeter of square is, 25.28 unit.
Step-by-step explanation :
First we have to calculate the distance of SQ.
Using distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance between the two coordinates
x and y are the coordinates.
To calculate the distance of SQ:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(4-(-2))^2+(10-8)^2}[/tex]
[tex]d=\sqrt{(36)^2+(4)^2}[/tex]
[tex]d=\sqrt{40}[/tex]
[tex]d=6.32[/tex]
As we know that SQUA is a square that means all sides are equal.
So, Side SQ = Side QU = Side UA = Side SA = 6.32
Now we have to calculate the perimeter of the square.
Perimeter of square = Side SQ + Side QU + Side UA + Side SA
Perimeter of square = 6.32 + 6.32 + 6.32 + 6.32
Perimeter of square = 25.28 unit.
Therefore, the perimeter of square is, 25.28 unit.
