Consider the points P(0,0),Q(4,0) and R(4,3).
a. (i) Plot the points P, Q and R on the Cartesian plane and join them to form △PQR.
b. (ii) Identify the type of triangle △PQR is, giving reasons based on the positions of its vertices.
c. (iii) Calculate the area of △PQR by selecting an appropriate base and height from the graph.
d. (iv) Find the coordinates of a point S such that PQRS forms a square lying entirely in the first quadrant with sides parallel to the axes, and plot the point S.