Combine cucumber and water. Let sit in the refrigerator to infuse for at least 10 minutes.

In a small bowl, toss the arugula with olive oil, lemon juice, salt, and pepper to make a simple dressing.

Lay the tortilla wraps flat on a clean surface.

Spread a generous amount of hummus on each tortilla wrap, covering the surface.

Layer shredded carrots, cucumber slices, tomato slices, and avocado slices on top of the hummus.

Drizzle the dressed arugula over the vegetables on each wrap.

Lay two parmesan cheese wedge slices on each wrap.

Carefully roll up the wraps, folding in the sides as you go, to create a tight and secure wrap. Slice each wrap in half diagonally if desired.

Serve the Vegetable Hummus Wraps with a side of chips and pickle, and cucumber water.