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Problem-Solving and Data Analysis / Ratios, rates, proportional relationships, and units Difficulty: Hard

The area of a rectangular region is increasing at a rate of $250$ square feet per hour. Which of the following is closest to this rate in square meters per minute? $left parenthesis Use 1 meter equals 3.28 feet period right parenthesis$

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Explanation

Choice A is correct. It’s given that $1 meter equals 3.28 feet$ . It follows that $1 squared square meter equals 3.28 squared square feet$ , or $1 square meter equals 10.7584 square feet$ . Since $1 hour equals 60 minutes$ , it follows that $250$ square feet per hour is equivalent to $(\frac{250 square feet}{1 hour}) (\frac{1 square meter}{10.7584 square feet}) (\frac{1 hour}{60 minutes})$ , or $StartFraction 250 square meters Over 645.504 minutes EndFraction$ , which is approximately $0.3873$ square meters per minute. Of the given choices, $0.39$ is closest to $0.3873$ .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.