Final answer:
The area of the rectangle with given length and width is 2x^2 + x - 15.
Step-by-step explanation:
To find the area of a rectangle, we need to multiply the length by the width. In this case, the length is represented by (2x-5) and the width is represented by (x+3). So, the area of the rectangle would be (2x-5)(x+3). We can simplify this by using the distributive property: (2x)(x) + (2x)(3) - (5)(x) - (5)(3). Simplifying further, the area is 2x^2 + 6x - 5x - 15. Finally, combining like terms, the area of the rectangle is 2x^2 + x - 15.
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