The measurement of the edge of a piece of square floor tile is found to be 12 inches with a possible error of 0.02 inches. Use differentials to approximate the maximum possible error in the calculated area and give the relative error of the calculation.

Long division setup showing an incomplete calculation. 12 is in the divisor, 6839 is in the dividend, and 5 hundreds and 6 tens is written in the quotient. 6000 is subtracted from 6839 to give 839. an unknown value represented by a box is being subtracted from 839. what number should be placed in the box to complete the division calculation?