You can
put this solution on YOUR website!
The border area is the area of the total park - the area of the lawn:
.
The problem tells us the area of the border is 330m^2.
Eq.1:
The area of the park = length * width.
Eq.2:
The problem tells us "the entire park is 5m longer than it is wide", which means:
. Plugging that into Eq.2:
Eq. 3:
Finally, from the diagram, you should be able to see that the area of the lawn is the area of a rectangle having the following dimensions:
Lawn length=
(because you subtract 2.5 from each end of the length)
Lawn width=
(same reason).
So,
, but we know
, therefore:
Eq. 4:
---------
Now, we have enough to solve for w by plugging Eq. 4 and Eq. 3 into Eq. 1:
Let's solve this
----
The problem asks for the area of the lawn. Eq. 4 gives us the area of the lawn, so let's use that:
(