Final answer:
The area of the given rectangle with a length of 2x + 1 and a width of 5x - 4 is 10x^2 - 3x - 4.
Step-by-step explanation:
To find the area of a rectangle, you multiply its length by its width. In this case, the length of the rectangle is 2x + 1 and the width is 5x - 4. To find the area, we multiply these expressions:
Area = (2x + 1)(5x - 4)
We can use the distributive property to simplify this expression:
Area = 10x^2 - 8x + 5x - 4
Combining like terms, we get:
Area = 10x^2 - 3x - 4