Final answer:
The area of the rectangle can be found by multiplying its length and width, which are given as (5x - 4) units and (2x - 5) units respectively. The expression (10x^2 - 33x + 20) square units represents the area of the rectangle.
Step-by-step explanation:
The area of a rectangle is found by multiplying its length and width. In this case, the length of the rectangle is given as (5x - 4) units and the width is given as (2x - 5) units. To find the area, we multiply these two expressions:
Area = (5x - 4)(2x - 5)
Using the FOIL method, we can expand and simplify the expression:
Area = 10x^2 - 25x - 8x + 20
Combining like terms, we have:
Area = 10x^2 - 33x + 20
So, the correct answer is C. (10x^2 - 33x + 20) square units.