Hello, lizard4!

A rectangular garden is to be surrounded by a walkway of constant width.

The garden's dimensions are 30 ft by 40 ft.

The total area, plus garden walkway, is to be 1800 ft².

What must be the width of the walkway to the nearest thousandth. I hope you made a sketch . . . Code:

: x : - -40 - - : x :
*-------------------* - -
x | | :
| *-----------* | :
| | | | :
30| |30 | | 30+2x
| | 40 | | :
| *-----------* | :
x | | :
- *-------------------* - -
: - - - 40+2x - - - :

The garden itself is 30 × 40 ft.

The walkway is feet wide . . . all the way around.

The entire region has length and width .

There is our equation: .