The Area of a rectangle is 3x2 + 9x square inches

. The length of the rectangle is 3x inches.

What is the width of the rectangle?

1. Explain how you find the area of a rectangle.

2. Explain how you find the width of a rectangle given the Area and the length.

3. Show you work and solve for the width of this rectangle.

Respuesta :

Answer:

Width of rectangle = [tex]W = x + 3[/tex] inches

Step-by-step explanation:

Given Data:  

Length of rectangle = L =  [tex]3x[/tex] inches ------>(Equation 1)

Area of rectangle = A =  [tex]3x^{2} + 9x[/tex] square inches------>(Equation 2)

To find out:  

Width of rectangle = W = ?  

Formula:  

Area = A = L×W

Width of rectangle = [tex]W = \frac{A}{L}[/tex]

Solution:  

Width of rectangle = [tex]W = \frac{A}{L}[/tex]

Width of rectangle = [tex]W = \frac{3x^{2} + 9x }{3x}[/tex]

Width of rectangle = [tex]W = \frac{3x(x + 3) }{3x}[/tex]

Width of rectangle = [tex]W = x + 3[/tex] inches

 

 

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