The original area of the rectangle is [tex]35ft^{2}[/tex]
Explanation:
width = x
length = x + 2
area of the rectangle = x (x+2)
length = x + 2 + 5 = x+7
[tex]60 = (x+7) (x)\\60=x^{2} + 7x\\x^{2} + 7x - 60 =0\\[/tex]
Solving this equation, we get
x =5ft
So, original width = 5ft
original length = 5+2ft = 7ft
Thus, original area of the rectangle = 5 X 7ft = [tex]35ft^{2}[/tex]
Therefore, the original area of the rectangle is [tex]35ft^{2}[/tex]