
Concept explainers
a.
Calculate the length of the nearest foot of the square.
a.

Answer to Problem 38PPS
The value of the length is 2066feet .
Explanation of Solution
Given: It is given in the question that the largest town square in the world is Tiananmen Square covering 98 acres and the one square mile is 640 acres .
Concept Used:
In this, use the concept of area of the square i.e. Area=a2 .
Calculation: Here,
Area (in square mile) = 98640=0.15 square mile
Area (in square feet) = 0.15 ×2.78×107=4268880 square foot
Area=a24268880=a2a=√4268880a=2066feet
Conclusion:
The value is 2066feet .
b.
Calculate the diagonal distance across Tiananmen Square.
b.

Answer to Problem 38PPS
The length of the diagonal is
2922ft .
Explanation of Solution
Given: It is given in the question that the length of the sides of the square is 2066feet .
Concept Used:
In this, use the concept of pythagoras theorem i.e. h2=p2+b2 .
Calculation: Here, b=p=2066feet
h2=p2+b2(h)2=(2066)2+(2066)2h2=4268356+4268356h2=8536712h=√8536712≈2922ft
Conclusion:
The length is 2922ft .
Chapter 10 Solutions
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