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A football field measures 120 yards long and 53.33 yards wide. We know that the team can fit 25 players in a ˚le with a diameter of 10 feet. How many people can fit on the field if the school wanted to cover the entire area?

a. 1328 players
b. 1005 players
c. 756 players
d. 502 players

User Gbeaven
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1 Answer

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Final answer:

To find the number of people that can fit on the football field, we need to calculate the area of the field and divide it by the area of each player. The total area of the field is 57596.4 square feet and the area of each player is 78.5 square feet. Therefore, 734 players can fit on the field.

Step-by-step explanation:

To find the number of people that can fit on the football field, we need to calculate the area of the field and divide it by the area of each player. The area of the football field can be found by multiplying the length and width: 120 yards x 53.33 yards = 6399.6 square yards.

Now we need to convert square yards to square feet. Since 1 yard equals 3 feet, 1 square yard equals 3 feet x 3 feet = 9 square feet.

Therefore, the total area of the field in square feet is 6399.6 square yards x 9 square feet = 57596.4 square feet.

Now we can calculate the number of people that can fit on the field by dividing the total area of the field by the area of each player. Assuming a circular shape for each player (diameter of 10 feet), the area of each player is 5 feet x 5 feet x pi (approximately 3.14) = 78.5 square feet.

Finally, we divide the total area of the field (57596.4 square feet) by the area of each player (78.5 square feet) to find the number of players that can fit on the field: 57596.4 square feet / 78.5 square feet = 734.

Therefore, the correct answer is 734 players.

User Marlon Abeykoon
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