The area is not sufficient information to determine a diagram. First of all, there is no reason to suppose that the area is rectangular as opposed to circular or triangular or some other simple or complicated shape. Even if you assume that it is a rectangle, there are infinitely many possible answers: ranging from nearly square areas to extremely long very thin strips.
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Answer: 2500 ft² = 232.257 m²
50*50 = 2500 square feet
The square root of 2500 is 50
Assuming that sauare is your fail at spelling square, the area of a shape does not provide enough information about its dimensions. The area in question could be 10 feet * 250 feet or 1 foot * 2500 feet or even 0.001 ft x 2500000 ft.
50*50 ft = 2500 ft is a measure of length, not area. It would not be appropriate to convert a length into an area. 50ft * 50 ft, on the other hand, is a measure of an area and is equivalent to 232.26 sq metres (to 2 dp).