Answer:
(x+4)
Step-by-step explanation:
It is given that the area of rectangle is:\(x^2+13x+36 square meters\) and the length of the rectangle is:\(x+9 meters\).
Thus, The breadth of the rectangle is calculated as:
Area of rectangle=length of rectangle×breadth of rectangle
⇒\(x^2+13x+36=(x+9){\times}breadth\)
⇒\(\frac{x^2+13x+36}{x+9}=Breadth\)
⇒\(\frac{x^2+9x+4x+36}{x+9}=breadth\)
⇒\(\frac{(x+9)(x+4)}{x+9}=breadth\)
⇒\((x+4) meters=breadth\)
