A rough sketch of the rectangular plot is
The perimeter of the rectangle is given by the formula:
Where,
and,
i
The perimeter is 320, so we can write:
Total fencing cost $3120 and this is 1 length side and 2 width side.
The fencing on length side is $24 per foot and width side is $4 per foot.
e can write an equation:
Now, we have to solve the 2 simultaneous equations,
Let's solve with elimination >>>>
We can substitute this value of "l" into the first equation and solve for "w". This is shown below:
Thus,
Answer
The Longer Dimension is 115 feet
The Shorter Dimension is 45 feet