To find the largest area, you would want an area that is very similar to a square. Since 96 is supposed to be the perimeter, we should try to divide 96 by four to see if it can be a square. Luckily, it is and the pair to it is 24. Now we know that each side of the square is 24. So if you multiply 24 by 24, to find that the maximum area you can fence for your pet tortoise is 576.