Duplicate post. Already answered.
The answer will be 225 m^2. (15 x 15 m)
Try other length-width combinations, or use "completing the square" and algebra, or calculus to convince yourself.
A landscape architect wants to maximise the area of a herbal garden. The fence around the perimeter of the area must be 60 metres long. The optimal width of the rectangular area is ?
1 answer