float distance = 25.0f;    // constant distance
if ( ( point.x < rect.left && point.x > rect.left - distance ) ||
     ( point.x > rect.right && point.x < rect.right + distance ) ||
     ( point.y < rect.bottom && point.y > rect.bottom - distance ) ||
     ( point.y > rect.top && point.y < rect.top + distance ) )  {
    // point is in black area
}
else  {
    // point is in pink/grey area
}