A square courtyard is surrounded on all sides by a uniform paved path. The area of the courtyard alone is 150m2, while the combined area of the courtyard and the path is 192m2.
a. (i) Determine the length of a side of the courtyard, expressing your answer in simplest radical form.
b. (ii) Determine the length of a side of the larger square that includes the path, expressing your answer in simplest radical form.
c. (iii) Hence, calculate the width of the paved path.