Answer
Point S is located at (0,-6)
Area of Square PQRS is 50
Work Step by Step
Point S is located at (0,-6) because at (0,-6), all of the sides will have the same distance from one point to the other end point which results in a square
area of square = $side^2$
distance of one side = $D =\sqrt (x_{2}-x_{1})^2 + (y_{2}-y_{1})^2$
$D =\sqrt (5-0)^2 + (1-6)^2$
$D =\sqrt (5)^2 + (-5)^2$
$D =\sqrt (25 + 25)$
$D =\sqrt (50)$
therefore the distance of one side = $\sqrt (50)$
area of square = $side^2$
area of square = $\sqrt (50)^2$
area of square = $50$
