alexmalouf
alexmalouf alexmalouf
  • 11-11-2020
  • Mathematics
contestada

The area of a rectangle is 34in² the length is 13 less than 2 times the width

Respuesta :

netizenwebb netizenwebb
  • 11-11-2020

Answer:

  width:  8.5

  length:  4

Step-by-step explanation:

width:  x

length:  2x - 13

area = length * width

34 = (2x - 13)x

34 = 2x² - 13x

2x² - 13x - 34 = 0

(2x - 17)(x + 2) = 0

2x - 17 = 0

 2x = 17

  x = 8.5

x + 2 = 0

    x = -2              width cannot be negative so discard this

width:  x = 8.5

length:  2x - 13 = 2(8.5) - 13 = 4

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