Answer:
Option B is correct
[tex]length (l) = 2x+3[/tex] ; [tex]width (w) = (x-1)[/tex]
Step-by-step explanation:
Given an area of rectangle in the form of equation:
Area of Rectangle = [tex]2x^2+x-3[/tex]
Formula for the Area of Rectangle: To find the Area of Rectangle in square unit, we multiply the length by width, i.e,
Area of Rectangle (A) = [tex]length(l) \times width(w)[/tex]
Factorize the quadratic equation:
[tex]2x^2+x-3[/tex]
⇒ [tex](2x+3)( x-1)[/tex]
Since, Area of rectangle = [tex]2x^2+x-3 = (2x+3) \times (x-1)[/tex]
or
[tex]l \times w= (2x+3) \times (x-1)[/tex]
then, either [tex]l[/tex] = (2x+3) , [tex]w[/tex] = (x-1) or [tex]l = (x-1)[/tex] , [tex]w[/tex]= (2x+3)
The only options we have; [tex]length (l)[/tex] = (2x+3) and width (w) = (x-1)
