Answer: The length and width of the rectangle could be (x-9) and (x-8).
Step-by-step explanation:
Since we have given that
Area of rectangle = [tex]x^2-17x+72[/tex]
We need to find the length and width of the rectangle.
As we know the formula for "Area":
[tex]Area=Length\times breadth\\[/tex]
Now, we first split the middle term:
[tex]x^2-17x+72\\\\=x^2-9x-8x+72\\\\=x(x-9)-8(x-9)\\\\=(x-9)(x-8)[/tex]
Hence, the length and width of the rectangle could be (x-9) and (x-8).
