Every square tile on a kitchen counter has an area of 2/5 square inches. If there are 14 tiles, what is the total area of the kitchen counter in square inches?

The total area of the tiles is 14 tiles * 2/5 square inches per tile = 5.6 square inches.

Since each tile is a square, and they are all the same size, we can find the length of one side of a tile by taking the square root of its area: sqrt(2/5) = 0.6325 inches.
Then, the total length of one row of tiles is 14 tiles * 0.6325 inches per tile = 8.855 inches.
Since there are 14 tiles in each row and in each column, the total area of the kitchen counter is 8.855 inches * 8.855 inches = 78.4 square inches. Answer: \boxed{78.4}.