The correct option is
A (x+4)(x+4)The terms of the expression
x2+8x+16 are
x2, 8x and 16.
x2 - square whose side is x units.
8x - rectangle with sides 8 units and x units.
16 - square of side 4 units.
From the above, we can see that
x2+8x+16=(x+4)(x+4).