"A month's vacation" in Engpsh is commonly referred to as "a month off" or "a month-long vacation".

The phrase "vacation" comes from the Latin word "vacare", which means "to be empty" or "to be free". The use of "vacation" to describe a period of time away from work for rest and relaxation dates back to the 19th century.

Examples:

I'm taking a month off from work to travel around Europe.
She's planning a month-long vacation to Hawaii.

Chinese Translation:

我正在从工作中抽出一个月的时间去游览欧洲。
她正在计划一个月的假期去夏威夷。