Pre algebra word problem

[The Wall]

A small city park consists of a rectangular lawn surrounded on all sides by 330m squared border of flowers 2.5 m wide. Find the area of the lawn if the entire park is 5 m longer that it is wide.

 

[soroban]

Hello, The Wall!

A small city park consists of a rectangular lawn surrounded on all sides by 330 m² border of flowers 2.5 m wide.
Find the area of the lawn if the entire park is 5 m longer that it is wide.

      :2.5: - - x - - :2.5:
   -- *-------------------* --
   2.5|                   |  :
   -- |   *-----------*   |  :
    : |   |           |   |  :
    x |   |x          |   | x+5
    : |   |    x+5    |   |  :
   -- |   *-----------*   |  :
   2.5|                   |  :
   -- *-------------------* --
      : - - - x+10  - - - :

The lawn is \(\displaystyle x\)-by-\(\displaystyle (x+5)\) feet.
. . Its area is: .\(\displaystyle x(x+5)\) sq.ft.

We see that the park is \(\displaystyle (x+5)\)-by-\(\displaystyle (x+10)\) feet.
. . Its area is: .\(\displaystyle (x+5)(x+10)\) sq.ft.

The area of the border of flowers is the difference of those two areas.

There is our equation . . . . . \(\displaystyle (x+5)(x+10) - x(x+5) \:=\:330\)

Go for it!