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you take the given perimeter, divide it by four (because a square has four sides, equal in length), and whatever number you get, you multiply by itself (because to find the area of a square you multiply length by width, or in other words, square the length of the side). for example: the perimeter is 24. 24 divided by 4 is 6. 6 x 6=36.
In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.
In other words ... least fence for greatest area ... First place . . . Circle Second place . . . Square
Length is a one-dimensional quantity, area is a two-dimensional quantity, and volume is a three-dimensional quantity. Length is defined in terms of linear units, feet (ft) and meters (m), for example. Area is defined in terms of square units, such as square feet (sq ft or ft2) or square meters (sq m or m2). Volume is defined in terms of cubic units, such as cubic feet (cu ft or ft3) or cubic meters (just m3). By the way, saying that a surface has an area of 100 square feet (sq ft) is the same as saying it has an area of 100 feet squared (ft3). Note that there are other units of area that don't involve the words square or squared. Some examples are acre, are, and hectare. The last two are metric units. Also note that there are units of volume that don't involve cubic units. Some examples are ounce, pint, quart, gallon, milliliter, and liter. Some people refer to those units as units of "capacity," but they are essentially units of volume.
You use the definition of "perimeter". In other words, you add up the lengths of the three sides.