Question

A parking lot with an area of 9600ft^2 has a 200ft fence built along two adjacent sides of lengths x and y. If you were asked to find the dimensions of the parking lot, what equations would you used for the perimeter and area of the parking lot?

Answer 1

`\left\{\begin{array}{l}x+y=200\\ \\xy=9,600\end{array}\right.`

Explanation:

The diagram shows rectangular parking lot with sides of
`x` feet and
`y` feet.

1. The area of the rectangle is

`A=Length* Width=xy.`

If the area of the parking lot os
`9,600\ ft^2,` then

`xy=9,600`

2. A parking lot has a
`200\ ft` fence built along two adjacent sides of lengths
`x` and
`y`, then

`x+y=200`

3. The system of two equations describing this situation is

`\left\{\begin{array}{l}x+y=200\\ \\xy=9,600\end{array}\right.`