In nice and green valley there is a building with 4 floors.

In every floor there is a quadrilateral polygons, that is have a __unique property__.

Which quadrilateral polygons are in the building?

The answer is: Square, Rhombus, Trapezoid and Kite.

the answer of square I understood because a unique rectangle that has sizes that are equal.

Why the rest are living the building?

the question is:

In a beautiful valley between vineyards and fields stands a four-story building. They were joined by four quarters and asked to be tenants. They gathered and thought about how they would spread between the floors. And then an idea came up: it would be the first to declare a unique feature-the whole floor would be his.

The answer is: Dalton, trapeze, rhombus and square.

Thanks. I, too, tried Google translate, and another site or two. Here is my attempt to put everything together to make a more meaningful version:

In a beautiful valley between vineyards and fields stands a four-story building. Four quadrilaterals came and asked to be tenants. They gathered and thought about how they would divide themselves between the floors. And then an idea came up: the first to declare a unique property, would get the whole floor.

The answer is: kite, trapezoid, rhombus and square.

Does that sound like a reasonable representation of the Hebrew?

I am thinking that perhaps it is the order of the four that is important, since as I interpret it, just the four came, and they needed to assign floors (rather than that four of all possible quadrilaterals are allowed in). So perhaps they are ordered by the number of properties they have. Another possibility, though, is that the answer is meant to be a list of categories into which everything would fit. (Neither of these ideas makes perfect sense to me.)

Clearly, though, the problem is still unclear, and is perhaps meant to be a riddle. But, also, a proper answer ought to include the reasons.

You haven't yet told us the context of the question. What type of source does it come from (e.g. children's book, contest problem, geometry textbook, ...)? Is there a picture with it? That may also help in interpreting it.