Answer:
Length = 4 feet
Step-by-step explanation:
Let the length of a rectangle be x.
Width is 1 feet shorter than the length, b = x-1
The area of the rectangle is 12 sq feet.
The area of a rectangle is given by :
A = length × width
So,
[tex]x(x-1)=12\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x+3)(x-4)=0\\\\x=-3\ and \ x=4[/tex]
Neglecting the negative side, the length of the rectangle is equal to 4 feet.
