Respuesta :

Answer:

The answer to your question is x = 2

Step-by-step explanation:

Data

Area = 192 in²

Polynomial                  2x² + 48x + 88

Process

1.- Write an equation of the area

                                   2x² + 48x + 88 = 192

2.- Factor

                                  2x² + 48x + 88 - 192 = 0

                                  2x² + 48x - 104 = 0

Divide by two

                                    x² + 24x - 52 = 0

                                   (x + 26)(x - 2) = 0

                           x₁ = - 26               x₂ = 2

The answer is x = 2, it could not be -26 because there are no negative lengths.