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Why would you not like to use a measuring tape made of an elastic material like rubber to measure distance? What would be some of the problems you would meet in telling someone about a distance you measured with such a tape?
 
Elastic tapes are not preferred for measuring distance because the of elastic tapes value for measurement. The value of distance  due to this.
 
While using elastic tape for measurement, one have to know whether the tape was or not. Also, it is very difficult to find  it was stretched.