Choice D is correct. The area $A$ , in square centimeters, of a rectangle can be found using the formula $A = lw$, where $l$ is the length, in centimeters, of the rectangle and $w$ is its width, in centimeters. It's given that the rectangle has a length of $36$ centimeters and a width of $34$ centimeters. Substituting $36$ for $l$ and $34$ for $w$ in the formula $A = lw$ yields $A = 36(34)$, or $A = 1,224$. Therefore, the area, in square centimeters, of this rectangle is $1,224$.

Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect. This is the perimeter, in centimeters, not the area, in square centimeters, of the rectangle.

Choice C is incorrect and may result from conceptual or calculation errors.