Question

which is the tallest?
one world trade center in new york is 540 meters tall. a planned building in london will be \\(\frac{5}{6}\\) as tall as one world trade center.
a planned building in tokyo will be \\(1\frac{1}{5}\\) as tall as one world trade center.
a building in rio de janeiro is going to be \\(\frac{9}{10}\\) as tall as one world trade center.

how tall is each new planned building?

Explanation:

Identify given values and relations

We are given:

• One World Trade Center height: \(540\text{ meters}\)
• London building: \(\frac{5}{6}\) as tall as One World Trade Center
• Tokyo building: \(1\frac{1}{5}\) as tall as One World Trade Center
• Rio de Janeiro building: \(\frac{9}{10}\) as tall as One World Trade Center

We need to find the height of each planned building.

Calculate London building height

Using the Fraction Arithmetic knowledge point

$$ \text{Height} = 540 \times \frac{5}{6} = 90 \times 5 = 450\text{ meters} $$

Calculate Tokyo building height

Using the Fraction Arithmetic knowledge point

$$
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$$

Calculate Rio de Janeiro building height

Using the Fraction Arithmetic knowledge point

$$ \text{Height} = 540 \times \frac{9}{10} = 54 \times 9 = 486\text{ meters} $$

Determine the tallest building

Comparing the calculated heights:

• London: \(450\text{ meters}\)
• Tokyo: \(648\text{ meters}\)
• Rio de Janeiro: \(486\text{ meters}\)
• One World Trade Center: \(540\text{ meters}\)

The tallest building is the planned building in Tokyo.

Answer:

• London building height: \(450\text{ meters}\)
• Tokyo building height: \(648\text{ meters}\)
• Rio de Janeiro building height: \(486\text{ meters}\)
• Tallest building: Tokyo building (\(648\text{ meters}\))