Answer:
width=x+4
Step-by-step explanation:
area=x²+13x+36
=x²+4x+9x+36
=x(x+4)+9(x+4)
=(x+4)(x+9)
length=x+9
width =area/length
[tex]width=\frac{x^2+13x+36}{x+9} \\=\frac{(x+4)(x+9)}{(x+9)}\\=x+4[/tex]
Answer:
x+4
Step-by-step explanation:
The quadratic x^2 +13x +36 can be factored as ...
x^2 +13x +36 = (x +9)(x +4)
If the quadratic represents the product of length and width, and the length is represented by x+9, then the width is represented by x+4.
