QQuestionEnvironmental Science
QuestionEnvironmental Science
According to the textbook, Taiwan is about the same size as what U.S. state?
A. Alaska
B. Rhode Island
C. Maryland
D. Texas
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Answer
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Step 1:: According to the problem, we need to find a US state that has an area similar to Taiwan.
Taiwan's area: \$\$A_{Taiwan} = 36,193~\text{km}^2\$\$ (source: Wikipedia)
Let's first look up the area of Taiwan.
Step 2:: Next, let's compare this area with the areas of the US states listed in the options.
\$\$R_{Alaska} = \frac{A_{Taiwan}}{A_{Alaska}} = \frac{36,193~\text{km}^2}{1,717,854~\text{km}^2} \approx 0.021~\text{or}~2.1\%\$\$
We'll calculate the ratio of Taiwan's area to the area of each US state. The state with the ratio closest to 1 will be the correct answer. Option A: Alaska Calculate the ratio:
Step 3:: Option B: Rhode Island
\$\$R_{RhodeIsland} = \frac{A_{Taiwan}}{A_{RhodeIsland}} = \frac{36,193~\text{km}^2}{4,002~\text{km}^2} \approx 9.04~\text{or}~904\%\$\$
Calculate the ratio:
Step 4:: Option C: Maryland
\$\$R_{Maryland} = \frac{A_{Taiwan}}{A_{Maryland}} = \frac{36,193~\text{km}^2}{32,133~\text{km}^2} \approx 1.13~\text{or}~113\%\$\$
Calculate the ratio:
Step 5:: Option D: Texas
\$\$R_{Texas} = \frac{A_{Taiwan}}{A_{Texas}} = \frac{36,193~\text{km}^2}{695,662~\text{km}^2} \approx 0.052~\text{or}~5.2\%\$\$
Calculate the ratio:
Step 6:: Compare the ratios found for each US state.
The ratio closest to 1 is the best match for Taiwan's area. Option A: Alaska - 2.1% Option B: Rhode Island - 904% Option C: Maryland - 113% Option D: Texas - 5.2%
Step 7:: Based on the calculated ratios, Option C, Maryland, has the closest ratio to 1, so Taiwan is most similar in size to the state of Maryland.
Final Answer
Taiwan is about the same size as the state of Maryland (Option C).
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