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The perimeter of a rectangular field is 2.5Kilometer. What is the greatest possible area it may contain?

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a

b

c

d

answer is D.

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Detailed Solution

Concept- Here, we apply the idea that a square is a rectangle with equal length and width. If both dimensions are equal, a rectangle will have the largest area since it will have one measurement less than the other. Find the value of the square's side by substituting the specified perimeter for the square's perimeter. We determine the largest area by using the area of a square formula.
The square has the largest area of all rectangles with the same perimeter.

Perimeter of the square

Side of the square

Area of the square

Hence, the correct answer is option 4)

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