Brad has a garden with dimensions 12 feet long x 7 feet wide. He wants to enlarge the garden to an area of 119 square feet. How much farther will he need to extend the length of the garden to attain his desired area?
The current area of the garden is 12 feet x 7 feet = <<12*7=84>>84 square feet.
To attain an area of 119 square feet, Brad needs to extend the garden by 119 square feet - 84 square feet = <<119-84=35>>35 square feet.
Since the width of the garden remains unchanged, Brad only needs to extend the length of the garden by 35 square feet. Answer: \boxed{35}.