Thank you for your question. The distance between the island and the cook top is 4 feet.

how big is the closet with the sliding door? and how wide is the sliding door?

The pocket door is 2'-6" wide x 7'-0" tall. The closet itself is 4'-8" deep x 5'-4" wide (excluding the built-in shelving and cabinetry).

Per a previous question on this photo:
"In this kitchen, the kitchen countertop continues into the pantry on two walls. Affording counter space for all of the kitchen counter appliances that can sometimes clutter a kitchen. In this picture you can see a simple microwave sitting on the countertop, while around the corner there is a coffee maker, toaster, blender, etc. The microwave is not built-in and can be easily replaced when needed."

The flooring is Red Birch; but do you know what color stain it was finished with.