A rectangular floor area can be completely tiled with \(200\) square tiles. If the side length of each tile is increased by \(5\) unit, it would take only \(128\) tiles to cover the floor.

(i) Assuming the original length of each side of a tile be \(x\) units, make a quadratic equation from the above information.
(ii) Write the corresponding quadratic equation in standard form.{Simplified form}
(iii) (a) Find the orginal length of each side \(=\) \(\text{units}\)
(b) Find the increased length \(=\) \(\text{units}\)