Big Greek Gus Burger and Cucumber Salad

Name: Big Greek Gus Burger and Cucumber Salad
Ingredients: 4 cucumbers, peeled and sliced; 2 cloves garlic, minced; 1/4 cup Greek yogurt; 1 teaspoon chopped fresh dill; 1 teaspoon chopped fresh mint; 1 tablespoon lemon juice; Kosher salt and black pepper; 1 1/2 pounds ground beef; 1 teaspoon dried oregano; 4 cloves garlic, minced; 4 hamburger buns; Mayonnaise, for spreading; 4 Roasted Tomatoes, recipe follows; Red onion, thinly sliced, for topping; 1/2 cup crumbled feta; 4 beefsteak tomatoes; Olive oil; Kosher salt; Dried oregano