Which skill should be used for finding secret doors or traps: Perception or Investigation?

If I only look at the SRD, it seams pretty cut and dry; all the examples for Wisdom (Perception) are creatures and all the examples for Intelligence (Investigation) are objects, but if I look at the Player's Handbook, page 178, the green box example is using Perception for secret doors or traps.

Specifically, under Investigation:

deduce the location of a hidden object,

And the green box:

When your character searches for a hidden object such as a secret door or a trap, the DM typically asks you to make a Wisdom (Perception) check.

Which is correct?

Seeing and Finding are different

The rules on these two skills are blurry and have a significant amount of overlap. That means the exact correct answer is "up to the DM". You make the check the DM decides is more appropriate. I will detail the way I choose between them, this method is also used by every DM I have played with. It also seems to be the method used by Matt Mercer, though I haven't asked him to be sure.

Perception is for seeing

Your Wisdom (Perception) check lets you spot, hear, or otherwise detect the presence of something. It measures your general awareness of your surroundings and the keenness of your senses. - PHB

Perception checks are based on your senses. Can you see, hear or feel something that might give away the location. An example of how this can be used to find hidden doors:

You are standing in the centre of the room, you glance around to notice traps, triggers and anything else of interest. You feel a faint breeze blowing from the bookshelf in the corner.

This is a Perception check. It is a measure of your ability to notice things by sight or sense.

Investigation is for searching

When you look around for clues and make deductions based on those clues, you make an Intelligence (Investigation) check. - PHB

Investigation checks are about using logic and reasoning to figure out where the trap or secret door may be. This is a narrative difference rather than a mechanical one. An example description a DM may give:

You hunt around the room, methodically checking every shelf, cupboard and wall sconce for a hidden switch. You find scratch marks on a certain section of floor and deduce that the bookshelf must swing out.

This is an Investigation check. It is a measure of your ability to think logically and methodically locate something. You are using the clues to figure out where the secret door lies.

Finding a Hidden Object Green Text

I believe most of the confusion is coming for the block of green text under the Perception section of ability checks. In that section it has the text below in relation to Perception checks (emphasis mine):

... looking at the walls and furniture for clues, [...] you were opening drawers or searching the bureau... - PHB

This text seems to contradict the non-green-text descriptions for these two skills. I can't speak to why WotC choose to include this but I can try to explain the difference in spite of it.

Investigation is your ability to think and reason based on evidence. Perception is your ability to find that evidence with your senses. A DM could possibly call for both checks for a particularly difficult situation. More likely is you decide which is more difficult, finding the evidence or understanding it. Then call for the appropriate check.

This method is how I have always handled it at the table, as does my DM. The players and DM always seems to have a good idea of which situations require which check and it has never caused an issue.