Question

Find the area of square QRST with the following vertices Q(-2, 3), R(1, 0), S(4, 3) and T(1, 6). Earn a medal and Fan

Answer 1

So, recapping how to calculate the area of a square and what a square is:
"A square is a cuadrilateral whose sides are all the same length and are parallel between each other".
The formula to calculate the area is:
\[A _{sq}= l ^{2}\]
where "l" is one of it's side.
So, in order to find the are of the square whose vertices are those points, you'd have to find the distance between two of them and apply the area formula.
The distance formula is:
\[d _{ab}=\sqrt{(x_b - x_a)^2 +( y_b - y_a)^2}\]
where xb, xa, yb,ya are the coordinates of the points in question.