Yes, by using the Baudhāyana-Pythagoras Theorem. The distance AD is the hypotenuse of a right-angled triangle. AD = square root of (4 squared plus 3 squared), which equals 5 units.
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In a reflection across an axis, the shape, size and the coordinate corresponding to that axis remain the same. However, the sign of the other coordinate and the orientation (right-to-left) change.
(i) The fourth foot is at (8, 7). (ii) It depends on light and space. (iii) Width is 2 units, length is 3 units. Height cannot be determined from a 2-D coordinate plane.
The bathroom door width is the difference between y-coordinates: 4 minus 1.5 equals 2.5 units. Since the room door is also 2.5 units wide, both doors have exactly the same width.
With D1 at (9, 0) and R1 at (11.5, 0), the width is 2.5 units (50 cm if 1 unit = 20 cm). This is quite narrow and would not easily accommodate a wheelchair.