Reflect: Approximating The Areas 1 po In the previous problem, you approximated

Question

Reflect: Approximating The Areas 1 po In the previous problem, you approximated the area of llinois using Monte Carlo. Assume I didn't use Monte Carlo and instead found the area of the smallest rectangle that can fit my actual area inside it. In this problem, I approximate the area of Illinois and Canada by fitting them inside rectangles For lIllinois, the actual area is 58000 sq. miles and that of the fitting rectangle is 60000 sq. miles. For Canada, the actual area is 3.8 million sq. miles and the area of the approximating rectangle is 3.9 million sq. miles. Given the above information, which of the following is correct Choice* Rectangle for lllinois is a better fit because the error made relative to its total area is lesser. Rectangle for Canada is a better fit because the absolute error made in sq. miles is lesser. Rectangle for Illinois is a better fit because the absolute error made in sq. miles is lesser. Rectangle for Canada is a better fit because the error made relative to its total area is lesser.

Explanation / Answer

In case of Illinois, relative error is (60000-58000)/58000=0.0345

In case of Canada, relative error is (3.9-3.8)/3.8=0.0263

As relative error of Canada is lesser than that of Illinois, Rectangle for Canada is better fit.

Hence the last option is correct.

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