The equation which best represents the scenario is, x²/2=271
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Perimeter is a length of the boundary surrounding the area
Area of rectangle=length x Breadth
Perimeter=2(length+breadth)
length=x
breadth=x/2
Area=271ft²
Area=length x breadth
So, using the given value we can write
271=x²/2
⇒x=√542
=23.28ft
Therefore, the equation which best represents the scenario is, x²/2=271
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