The length of a rectangular plot is 8 feet more than its width.
The Area of the rectangular plot is 609 square feet.
If the length of the rectangular plot is a then the width will be (a - 8) since it is given that length is 8 feet more than its width.
Now recall that the area of rectangular shape is given by
[tex]A=l\cdot w[/tex]
Where w is the width and l is the length.
We have
l = a
w = (a - 8)
A = 609
Substituting these values into the formula
[tex]609=a\cdot(a-8)[/tex]
you can also write it as
[tex]a\cdot(a-8)=609[/tex]
So option (B) is a correct option.
Now let us simplify the above equation
[tex]\begin{gathered} a\cdot(a-8)=609 \\ a^2-8a=609 \\ a^2-8a-609=0 \end{gathered}[/tex]
So option (E) is also a correct option.
Therefore, the following equations can be used to find the length (a) of the rectangular plot.
[tex]\begin{gathered} \textcolor{#FF7968}{a\cdot(a-8)=609} \\ \textcolor{#FF7968}{a^2-8a-609=0} \end{gathered}[/tex]
