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The length and width of a rectangle, in terms of x, are x + 3 and 2x − 17, respectively. The area of the rectangle is 234 square units. (a) (6 points) DETERMINE the possible values of x

Respuesta :

The possible values of x of a rectangle with length and width of x + 3 and 2x - 17 respectively is 15

Area of a rectangle

area of a rectangle = lw

where

  • l  =length
  • w = width

Therefore,

length = x + 3

width = 2x - 17

area = 234

Therefore,

234 = (x + 3)(2x - 17)

2x² - 17x + 6x - 51 = 234

2x² - 11x - 51 - 234 = 0

2x² - 11x - 285 = 0

Therefore,

(x - 15)(2x + 19)

Hence,

x = 15 or x = - 19 / 2

we can only use positive values. Therefore, x = 15

learn more on rectangle here: https://brainly.com/question/12440187

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