Let the length of the rectangle be L and let the width of the rectangle be W.

It is given that the area of the rectangle is 98 cm^2

=> L*W = 98

The length is twice the width

=> L = 2W

This gives W*2W = 98

=> W^2 = 49

=> W = 7

L = 14

**The length of the required rectangle is 14 cm and the width is 7 cm.**