Question

Given that the area of a rectangle is 28x^2 -8x+4 square units, please provide the expression for the length of the rectangle in terms of x.

Answer 1

The expression for the length of the rectangle in terms of x is 7x - 2.

Step-by-step explanation:

To find the expression for the length of the rectangle in terms of x, we need to factorize the given expression for the area. The expression for the area of the rectangle is 28x^2 - 8x + 4. We can factorize this expression as (4x - 2)(7x - 2).

Since the length of a rectangle is usually greater than its width, the expression for the length of the rectangle in terms of x would be 7x - 2.