Math CentralQuandaries & Queries


Question from aretha, a student:

calculate the perimeter of a rectangle with the long side 462ft x 9inches and the short side 50% less.


$50\%$ is $\large \frac{50}{100} = \frac12.$

Here is my rectangle.


You have two long sides, each of length 462 ft 9 inches, and two short sides. Each of the short sides is half the length of a long side. What is the sum of the lengths of the two short sides? (Don't do any arithmetic at this point, just think about it.) What is the sum of the lengths of all four sides? Do do this add the number of feet and the number of inches separately and then use the fact that there are 12 inches in a foot to convert some of the inches to feet.

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