Final answer:
The area of a rectangle with sides of x - 1 and x is calculated using the formula A = length × width, which results in A = x² - x. This is a quadratic expression representing the area of the rectangle in terms of x.
Step-by-step explanation:
To find the area of a rectangle with sides of x − 1 and x, you simply need to use the formula for the area of a rectangle, which is the product of its length and width. In this case, the length could be considered as x and the width as x − 1. Hence, the area of the rectangle, A, would be:
A = length × width = x × (x − 1) = x² − x
This is a quadratic expression, and it represents the area of the rectangle in terms of x. To proceed further, we would either need specific values of x or use this expression in the context of a larger problem.