The Figure P2.5 shows a small rectangular lot divided into two rectangular areas A1 and A2 (that is, all angles are perfectly known). After correcting for possible systematic errors followed by the...

The Figure P2.5 shows a small rectangular lot divided into two rectangular areas A1 and A2 (that is, all angles are perfectly known). After correcting for possible systematic errors followed by the least squares adjustment of the measurements, the adjusted measurements with their corresponding standard deviations are as follows: l 2 = 30.455 m ± 0.003, l 3 = 36.266 ± 0.004 m, and l 4 = 10.155 ± 0.001 m. If the correlation between l 2 and l 3 is 0.75, compute the adjusted areas of the two lots and their corresponding standard deviations and the correlation coefficient between areas A 1 and A 2 .