Explanation
Correct answer: D.
Choice D is correct. It's given that the length of the base of the parallelogram is of the height of the parallelogram. Since is the height of the parallelogram, it follows that the length of the base of the parallelogram can be represented by the expression , or .
Desmos solution:
Note: Use the listed values to compare the solved expression with choice D's expression; the two printed lists match.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This expression represents , not , of the height of the parallelogram.
Choice B
Choice B is incorrect. This expression represents , not , of the height of the parallelogram.
Choice C
Choice C is incorrect. This expression represents , not , of the height of the parallelogram.