toneypolito31 toneypolito31
  • 25-10-2019
  • Mathematics
contestada

A swimming pool has an area of 2x² + 5x - 12. If the width of the swimming
pool is (x + 4), what is the length of the swimming pool?

Respuesta :

AlpenGlow
AlpenGlow AlpenGlow
  • 27-10-2019

Answer:

2x - 3

Step-by-step explanation:

The are of a rectangle is computed using the formula:

A = L x W

The area given is:

2x² + 5x -12

So:

2x² + 5x -12 = L x (x + 4)

[tex]L=\dfrac{2x^{2}+5x-12}{x+4}\\\\[/tex]

So we can solve this through division:

           2x - 3          

x + 4 | 2x² + 5x - 12

        - 2x² + 8x      

                  -3x - 12

                - -3x - 12

                       0

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