請問直述句he said to her,"what do you say to taking a walk?"轉間述句要怎轉?what do you say跟what did you say意思又不一樣?

(1)participle phrase----to taking a walk;
(2)Indirect speech:-
He asked her if she would like "to taking a walk".
(3)to accept=to be willing to accept;
---to take=to be willing to accept the taking;(participle phrase)
(4)Hence:-He asked her whether (what she said) is to be willing on taking a walk(=to accept the taking).In making suggestions,what will happen if=what if=What if she accepts the taking a walk?(Indirect speech)

what do you say to [a suggestion]?
~ used to ask someone if they agree with a suggestion

Indirect speech:
He asked her if she would like to take a walk.
He asked her if she agreed with taking a walk.

我想到了啦 是he asked her that what you said to taking a walk ? 對嗎請問?