Answer:
length = x - 2
Step-by-step explanation:
Area (A) of rectangle = lw ( l is the length and w the width )
A = x² - 7x + 10 = (x - 2)(x - 5) ← in factored form
l = [tex]\frac{A}{w}[/tex] = [tex]\frac{(x-2)(x-5)}{x-5}[/tex]
cancel the factor (x - 5) on the numerator/ denominator, hence
l = x - 2