Wide is used to talk about the distance across something such as a road or river. It is also used to talk about the distance from one side to the other of an object : a doorway two metres wide
If a road, river, door, etc. is wide, there is a large distance between one side of it and the other. The doorway isn't wide enough to get the piano through / a wide straight road / a wide leather belt
how wide? How wide is the driveway? 2 miles wide/ 1 meter wide...
Thick is usually used to talk about the distance between the two largest surfaces of an object : The steel doors are four inches thick.
Broad can often be used instead of wide , but it is slightly literary : broad, graceful avenues
Broad is always used with shoulders and back : a big man with broad (NOT wide) shoulders
Wide is used with nouns such as range , variety , and choice to say that something includes a lot of different things.
Broad is used with nouns such as outline , picture , and description to say that a description is general rather than specific.Use this especially in written descriptions, to describe roads, paths, rivers or parts of someone's body: a broad, tree-lined avenue / He was six feet tall with broad shoulders and strong arms.
The difference between 'wide' and 'broad' in the two entries above shows that 'wide' is used neutrally, just for measurements, but that 'broad' can be used in a more descriptive, even poetic way.