dużym

dużym

"Dużym" means "large" or "big" in the instrumental singular or dative singular form in Polish.

Here, "dużym" is in instrumental case as it is describing the noun "ogrodem" (garden) which is in instrumental case and means "big."

Mam dom z dużym ogrodem.

I have a house with a big garden.

The usage of "dużym" is to describe the plaza as large, agreeing in instrumental case with "placu."

Widziałem się z kolegą na dużym placu.

I met with a friend on a large plaza.

In this instance, "dużym" describes the project and takes the instrumental case in agreement with "projektem."

Zainteresowała się dużym projektem.

She became interested in the large project.