the rectangle below has an area of x^2+13x+36 square meters and a length of x + 9 meters. what expression represents the width of the rectangle?

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Answer:

(x+4)

Step-by-step explanation:

It is given that the area of rectangle is:[tex]x^2+13x+36 square meters[/tex] and the length of the rectangle is:[tex]x+9 meters[/tex].

Thus, The breadth of the rectangle is calculated as:

Area of rectangle=length of rectangle×breadth of rectangle

⇒[tex]x^2+13x+36=(x+9){\times}breadth[/tex]

⇒[tex]\frac{x^2+13x+36}{x+9}=Breadth[/tex]

⇒[tex]\frac{x^2+9x+4x+36}{x+9}=breadth[/tex]

⇒[tex]\frac{(x+9)(x+4)}{x+9}=breadth[/tex]

[tex](x+4) meters=breadth[/tex]

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