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Answer :
Question:
Tiananmen Square in Beijing, China is the largest town square in the world, covering 95 acres. One square mile is 640 acres. Assuming that Tiananmen Square is a square, how many feet long is a side to the nearest foot?
Solution:
Area (in a square mile ) is:
[tex]\frac{95}{640}=\text{ 0.148 square mile}[/tex]Area (in square feet) is:
[tex](0.148)(2.78\text{ x }10^7)\text{ = }4114400\text{ square foot}[/tex]now, the area of a square is:
[tex]x^2[/tex]then, we have the following equation:
[tex]x^2\text{ = }4114400[/tex]finally, solve for x:
[tex]x\text{ = }\sqrt[]{4114400}\text{ = 2028.39 f}eet[/tex]then the solution is:
[tex]x\text{ = 2028.39 f}eet[/tex]
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Final answer:
To find the length of one side of Tiananmen Square, assuming it is a perfect square, the area of 95 acres is first converted to square miles and then to feet, resulting in each side being approximately 2,029 feet long.
Explanation:
The question is about determining the length of one side of Tiananmen Square in Beijing, China, assuming it's shaped as a perfect square and covers an area of 95 acres. To find the side length, we first understand that one square mile equals 640 acres. Given Tiananmen Square's area of 95 acres, we convert this area into square miles by dividing by 640, getting approximately 0.148 square miles. To find the length of one side, we take the square root of the square's area in square miles and then convert that length into feet. Because there are 5,280 feet in a mile, we multiply the square root of the area in square miles by 5,280 to get the length in feet.
First, find the square root of the area in square miles: √0.148 ≈ 0.3845 miles. Then, convert the length in miles to feet: 0.3845 miles * 5,280 feet/mile = 2,029.36 feet. Therefore, each side of Tiananmen Square is approximately 2,029 feet long, to the nearest foot.
