Respuesta :

The width of the rectangle is [tex]\frac{2}{9}[/tex] unit

Step-by-step explanation:

The given is:

  • A rectangles width is 4 less than its area
  • Its length is 19 units

We need to find the width of the rectangle

Assume that the width of the rectangle is x units

∵ The area of the rectangle = length × width

∵ The width of the rectangle = x units

∵ The length of the rectangle = 19 units

∴ The area of the square = 19 × x = 19 x units²

∵ The width of the rectangle is 4 less than its area

- That means subtract 4 from the area to find the width

∴ x = 19 x - 4

- Subtract 19 x from both sides

∴ -18 x = -4

- Divide both sides by -18

∴ x = [tex]\frac{-4}{-18}[/tex]

- Reduce the fraction by dividing up and down by -2

∴ x = [tex]\frac{2}{9}[/tex]

The width of the rectangle is [tex]\frac{2}{9}[/tex] unit

Learn more:

You can learn more about the rectangles in brainly.com/question/12919591

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