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?

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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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