Mike has three pieces of wood Board A is 4 inches long board B is 7 inches long and board C is 13 inches long If the full length of each board is used can the three pieces of wood be placed toget?

If the question means "Can the three pieces of wood be placed together to form a triangle", which I suspect it does, the answer is No.

In a triangle, any two sides must be longer than the other. 4 + 7 is not longer than 13, so they could not meet is one was joined to a different end of the 13 inch board.