Answer:
Length=x+14 ft
Width=x+6 ft
Step-by-step explanation:
Step 1
Information provided
[tex]Area = x^{2}+12x+20[/tex]
Step 2
By factorization
[tex]Area = x^{2}+2x+10x+20[/tex]
Area=x(x+2)+10(x+2)
Notice that x+2 are common on RHS therefore,
Area=(x+2)(x+10)
Since the length is usually longer than width, then x+10 is taken as original length, x+2 is the original width.
Step 3
When a 2-ft walkway is built, dimensions of outside border increase by 2ft+2ft=4ft
Therefore, length=x+10+4=x+14 ft
Width=x+2+4=x+6 ft
Ans
Length=x+14 ft
Width=x+6 ft
