The area of a room is not enough information to determine its dimensions. First of all, you do not even know that it is a rectangular room: it could be L-shaped.
Next, suppose it is a rectangle. If you let L ≥ 2 metres be its length and B = 4/L metres be its breadth, then whateverthe value of L, the area of the room will be L*B = L*(4/L) = 4 m2. Thus, there are infinitely many possible answers.
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The 4 equal dimensions of a square with an area of 20 square meters is the square root of 20
You cannot. A square metre (m2) is a measure of area, with dimensions [L2]. A linear metre (m) is a measure of distance, with dimensions [L]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information. But suppose you have a square with an area of 20 square meter (m2). The sides of this square will be the square root of 20 m2 = (√20) m = 4,472 m. A rectangle that is 4 meter x 5 meter will also have an area of 20 m2.
2*(3*5 + 5*8 + 8*3) m2 = 2*(15 + 40 + 24) m2 = 2*79 m2 = 158 m2
8.0005*10-4 m2
4102 x 2103 = 8626506 cm2 or 862.6502 m2