Respuesta :

Answer:

Step-by-step explanation:

A = x² - 5x - 14

Factor using AC method.  Here, a = 1, b = -5, and c = -14.

ac = 1×-14 = -14

Factors of -14 that add up to -5 are -7 and 2.

A = (x - 7)(x + 2)

So the dimensions are x-7 and x+2.

The dimensions of the rectangle are (x -7) and (x +2) if the area of the rectangle is represented by the quadratic equation.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The area of the rectangle is represented by the quadratic equation:

= x² - 5x - 14

After factorization:

= x² - 7x + 2x - 14

= x(x - 7) +2(x - 7)

= (x - 7)(x + 2)

Thus, the dimensions of the rectangle are (x -7) and (x +2) if the area of the rectangle is represented by the quadratic equation.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2