A piece of wire of certain length is made into an ellipse of semi-major axis 1 cm and eccentricity 0.2 …?

when the eccentricity of this ellipse is increased from 0.2 to e , the area of the ellipse changes by 20% . Find the value of e upto third decimal place.

Update:

the length of wire remains same.

when eccentricity changes , both semi-major and semi minor axes change in their lenghts.

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