Question

The length of a rectangular plot is 8 feet more than its width. If the area of the rectangular plot is 609square feet, which of the equations can be used to find the length a', in feet, of the plot?

Answer 1

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

`A=l\cdot w`

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

`609=a\cdot(a-8)`

you can also write it as

`a\cdot(a-8)=609`

So option (B) is a correct option.

Now let us simplify the above equation

`\begin{gathered} a\cdot(a-8)=609 \\ a^2-8a=609 \\ a^2-8a-609=0 \end{gathered}`

So option (E) is also a correct option.

Therefore, the following equations can be used to find the length (a) of the rectangular plot.

`\begin{gathered} \textcolor{#FF7968}{a\cdot(a-8)=609} \\ \textcolor{#FF7968}{a^2-8a-609=0} \end{gathered}`