Step 1: Understanding the Question:
The task is to convert a sentence from direct speech to indirect (or reported) speech.
Step 2: Key Concepts for Conversion:
The reporting verb 'said to' changes to 'asked' because the sentence is a question.
The sentence is a yes/no interrogative, so the conjunction 'if' or 'whether' will be used to connect the reporting clause and the reported speech.
The tense of the reported speech will change. Present Perfect ("Have you completed") changes to Past Perfect ("had completed").
Pronouns will change. 'You' will change to 'she' (referring to Meera) and 'your' will change to 'her'.
The interrogative structure will change to an assertive (statement) structure. The question mark will be replaced by a full stop.
Step 3: Applying the Rules:
Rakesh said to Meera $rightarrow$ Rakesh asked Meera
Add conjunction $rightarrow$ Rakesh asked Meera if
Change pronoun and tense $rightarrow$ she had completed her work
Change structure to assertive and end with a full stop.
The final sentence is: Rakesh asked Meera if she had completed her work.