It depends on the shape. If it is a rectangle, we know that two of the sides are the same as the sides opposite them, so the missing side is the difference between half of the perimeter and the known side. If the perimeter is p, the known side is sk, and the missing side is sm,
sm = p ÷ 2 - sk = 0.5p - sk
Since the area (a) is the product of the two sides,
a = sk x (0.5p - sk) = 0.5psk - sk2
For example, if we know that the perimeter is 14 cm and one side is 5 cm, the other side is
sm = 0.5p - sk = 0.5 x 14 cm - 5 cm = 7 cm - 5 cm = 2 cm
The area is the product of the two sides, both of which we now have.
a = 5 cm x 2 cm = 10 cm2
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Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter
divide the perimeter by four to get the length of one side then square your answer to find the area
-- The perimeter of the square is [4 times the length of one side] . -- The length of one side of the square is [square root of its area] .
Area = side x side; perimeter = side x 4.
If the area is one square meter, the side length is one meter. Therefore, the perimeter is four meters.