Answer:
width = x + 4
Step-by-step explanation:
The area (A) of the rectangle is
A = length × width
Here A = x² + 13x + 36 and length = x + 9 , so
x² + 13x + 36 = x + 9 × width ( divide both sides by (x + 9)
width = [tex]\frac{x^2+13x+36}{x+9}[/tex] ← factor numerator
= [tex]\frac{(x+4)(x+9)}{x+9}[/tex] ← cancel common factor (x + 9) on numerator/ denominator
= x + 4
Thus width = x + 4 metres
