a wire is bent in a rectangular shape its breadht is twicw as lenght again it bent in cirle but the area of circle is 104.5 cm than area of rectangle find lenght of rectangle
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Length of wire = 725 cm
It is given that the wire is used to make a rectangle, with a length that is double the width. Therefore, The area of the rectangle is .
It is also given that the wire is used to make a circle whose area is greater than that of the rectangle by 104.5 sq.cm. Therefore, .
Since the two shapes are created using the same exact wire, therefore, the circumference of both shapes should be equal.
Therefore,
Substitute in the area equation:
Therefore, the length of the wire is equal to the perimeter of the rectangle = 6w = 6(120.83)=725 cm
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