The correct answer is A) equal-area projection.
The type of map that shows correct shapes and directions but distorts distances or sizes is an equal-area projection.
This type of map of the earth shows the regions with the same size but the negative side of the map is that it distorts the angle, the scale or the shape. Other types of maps that are commonly used are Cylindrical, Pseudocylindrical, conic projection, Azimuthal, and polyhedral.