charmhaywood
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  • 06-03-2020
  • Mathematics
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3x^2+9x what is the width of the rectangle, show your work. ​

3x29x what is the width of the rectangle show your work class=

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Favouredlyf Favouredlyf
  • 10-03-2020

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the given rectangle is expressed as 3x² + 9 square inches

The length of the given rectangle is expressed as 3x inches.

Width = Area/length

Therefore,

Width = (3x² + 9)/3x

Factorizing the numerator. It becomes

3(x² + 3)/3x

3 cancels out because it is common to the numerator and the denominator. Therefore,

Width = (x² + 3)/x

Width = x²/x + 3/x

Width = x + 3/x inches

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