In order to have a greatest rectangle, it has to be a square. Because the perimeter is 20 units, the length of 1 side of the rectangle is 20:4=5. Thus, there are 5*5= 25 units could be enclosed in the rectangle. Feel free to ask more :))
The rectangle with the maximum area that can be enclosed with a perimeter of 20 units is a square with side lengths of 5 units. The maximum area enclosed is 25 square units. Therefore, the greatest area for this rectangle is 25 square units.
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