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The area of a trapezoidal parcel of land is computed as follows: area = [(a1 + a2)/2]*b Where a1, a2 and b are independently measured

The area of a trapezoidal parcel of land is computed as follows:

area = [(a1 + a2)/2]*b

Where a1, a2 and b are independently measured dimensions. If measured values for a1, a2 and b are 319.414 m, 481.112m, and 502.307 m, respectively with variances 0.030 m2, 0.042 m2, and 0.020 m2, respectively. Compute the area of the parcel and the standard deviation of this computed area. (Note the given are variances and what is asked is the standard deviation) Use matrix solution.

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