Answer:
Width of the floor = 10 feet
Step-by-step explanation:
Given that:
Area of rectangular floor = 80 square feet
Width of rectangular floor = w
Length of rectangular floor = w - 2
Now,
Area = Length * Width
80 = w(w-2)
[tex]80=w^2-2w\\w^2-2w-80=0\\[/tex]
Factorizing the equation,
[tex]w^2+8w-10w-80=0\\w(w+8)-10(w+10)=0\\(w+8)(w-10)=0[/tex]
Either,
w+8 = 0
w = -8
Or,
w-10 = 0
w=10
As width cannot be negative,
width = 10 feet
Hence,
Width of the floor = 10 feet
