Kathleen wants to plant a small vegetable garden in her yard. She fences off a rectangular area with a length of 25.75 feet and a width of 10.2 feet. What is the area of Kathleen's vegetable garden?

The area of Kathleen's vegetable garden is calculated by multiplying the length and width of the rectangular area. The area is 25.75 feet x 10.2 feet = <<25.75*10.2=262.35>>262.35 square feet. Answer: \boxed{262.35}.