Woodflooring protection needed near fireplace?
Yes, wood is a concern and you should have a noncombustible hearth extension around the fireplace opening. It looks like your proposed layout is not appropriate.

Assuming you are in the US and subject to the IRC building code, Chapter 10 covers the requirements for fireplaces. The requirements vary depending on whether the fireplace is masonry (i.e. made of brick or stone) or factory-built (i.e. a pre-made metal box).

For masonry fireplaces, in general the hearth extension must be 2" thick, made of noncombustible materials, and must not have any combustable material under it. The hearth extension must extend 16" in front and 8" on each side of the opening (unless then opening is large, over 6 square feet, in which case the distances are increased to 20" in front and 12" on each side).

For factory-made fireplaces, the manufacturer specifies the requirements. IRC simply defers to the manufacturer instructions.