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