What kind of shape is India? Is it compact, protruded, elongated, fragmented, prorupted, etc?

How does your text define those words?

A compact shaped state is small and centralized. This type of state is the simplest to manage, since the government is close to all portions of the state

A prorupted state has a long extension, or an extended arm of territory.
A perforated state completely surrounds another.
A fragmented state that is separated by a physical or human barrier
An elongated shaped state is long and narrow.
An enclave country or part of a country that is surrounded by another.
An exclave is part of a country that is or almost completely separated from the main part of the country

My teacher says the shape doesn't have to be exact and I can do a mixture of two shapes. I think it would be compact and prorupted..? Or is there a better shape for it

India is the seventh largest nation in area. It doesn't fit the definition of compact.

That leaves a prorupted state and possibly an elongated shape.

Based on these definitions, I think you're probably right. India is not small and compact, however is roughly a triangle shape, so prorupted might apply, too. The others seem not to apply at all.

I don't know about elongated. Peru and Chile are long and narrow. India is not. ??? Prorupted seems to apply, but even then, not quite.

So would I only put prorupted? Or would I also put another shape?

India is one of the most elongated shaped countries in the world.

:) I guess it depends on what looks elongated by this definition. It's not narrow, but it is wide and long. ??? It is not small and compact, but it is contiguous, does not surround other nations, has no other characteristics of other definitions above. Do your best, Anonymous.

Are there any problems India is facing due to the shape of it?

I don't think so, but see my response to your later post.