The smallest perimeter for a given area, such as 48 m², is achieved by a square. For a square, the area is calculated as ( A = s^2 ), where ( s ) is the length of a side. To find the side length, you take the square root of the area: ( s = \sqrt{48} \approx 6.93 ) m. The perimeter ( P ) is then calculated as ( P = 4s ), which gives approximately ( P \approx 27.72 ) m.
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A square.
I think this means we have a shape with a perimeter 39cm and we are asked what is the smallest area. It is a rectangle of length 19.5cm and width zero. Or perhaps it should read area 49 cm squared., what is the smallest periimeter. A circle with 49=pi x r2. Then perimeter=pi x 2r
A 9 x 1 rectangle has a perimeter of 20 and an area of 9; A 9.5 x 0.5 rectangle has the same perimeter but an area of 4.75; You can go a long way along this road...
48 square metres (48m2)