Feet are the same as linear feet.
Linear just distinguishes them clearly from square feet or cubic feet.
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The distance around the wall is 42 linear feet.
multiply your total linear feet by 12 inches (1 foot), divide that number by the length of the brick and there is your answer.
Is this a trick question? You only need three figures if you are calculating cubic feet. You have just described a "Box" not a backsplash (normally figured in linear feet).
[(Linear feet x 12) / 16] + 1 is the formula.
The area of that wall would be 138 square feet.