Oh sorry I didn't realize you were standing all this time. Why don't you take my seat?
この場合、次のような言い方ができますよ。
ーOh sorry I didn't realize you were standing all this time. Why don't you take my seat?
「すみません、ずっと立たれてたことに気が付きませんでした。ここどうぞ」
席を譲る時には Why don't you take my seat? という言い方もできます。
ご参考まで!