My friend has $672 to spend on a fence for her rectangular garden. She wants to use cedar fencing which costs $13/yard on one side, and cheaper metal fencing which costs $8/yard for the other three sides.

What are the dimensions of the garden with the largest area she can enclose?
length for cedar side = yard
width for other side = yard

What is the largest area that can be enclosed?
area = yard-squared

If necessary, round your answers accurate to two decimal places.