Respuesta :

Applying the formula for area of a rectangle, the length of the rectangle can be expressed as: 3x + 2.

Recall:

Area of a rectangle (A) = L x W

Given:

Area of rectangle (A) expressed as: 9x + 6

Width (W) = 3

Length (L) = ?

  • Therefore,

9x + 6 = L x 3

  • Solve for L

[tex]9x + 6 = 3L[/tex]

  • Divide both sides by 3

[tex]\frac{9x}{3} + \frac{6}{3} = \frac{3L}{3}\\\\3x + 2 = L\\\\L = 3x + 2[/tex]

  • Length of the rectangle is expressed as 3x + 2.

Therefore, applying the formula for area of a rectangle, the length of the rectangle can be expressed as: 3x + 2.

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