Farmer Pythagoras has a field in the shape of a right triangle. The right triangle’s legs have lengths of 3 and 4 units. In the corner where those sides meet at a right angle, he leaves a small unplanted square S so that from the air it looks like the right angle symbol. The rest of the field is planted. The shortest distance from S to the hypotenuse is 2 units. What fraction of the field is planted?
Answer Choices
A. \dfrac{25}{27}
B. \dfrac{26}{27}
C. \dfrac{73}{75}
D. \dfrac{145}{147}
E. \dfrac{74}{75}
