Learn Arabic (Modern Standard): حمامهم أمام المطبخ. - Their bathroom is in front of the kitchen.

In Arabic, possessive pronouns are attached to the end of the noun. Here, the base word is حمام (bathroom). We add the suffix هم (-hum) to mean 'their', creating حمامهم (their bathroom). This specific suffix is used for a group of men or a mixed group of men and women.

Why isn't there an ال (al-) at the beginning of حمامهم?

When a noun has an attached possessive pronoun like هم, it is already considered definite (specific). Adding the word for 'the' to the beginning of حمامهم would be grammatically incorrect, just like we wouldn't say 'the their bathroom' in English.

Why is there no word for 'is' in the Arabic sentence?

Arabic does not use a word for 'is' or 'are' in simple present-tense sentences. You just state the subject, حمامهم (their bathroom), directly followed by the location, أمام المطبخ (in front of the kitchen).

Does أمام mean 'in front' or 'in front of'?

It means the entire phrase 'in front of'. In Arabic, location words like أمام connect directly to the noun that follows them, so you don't need a separate word for 'of'.