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The Walmart parking lot is in the shape of a giant triangle. The base of the triangle is 490 feet while the height is 110 feet. The manager wants to put on a fundraiser by filling the parking lot with customers. If one rectangular parking spot is 10 feet by 6 feet and can hold 32 people. How many people will he need to fill the lot?

User Markmuetz
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Final answer:

The Walmart parking lot can hold approximately 14,368 people for the fundraiser when filled with guests standing in areas equivalent to the standard size of the parking spots.

Step-by-step explanation:

To calculate how many people can fill the Walmart parking lot during the fundraising event, we need to first determine the area of the triangle-shaped parking lot and then determine how many rectangular parking spots can fit within that area. Since each parking spot holds 32 people, we can multiply the number of spots by 32 to find the total number of people that can be accommodated.

The formula for the area of a triangle is 1/2 the base times the height. In this case, the base is 490 feet and the height is 110 feet. Using this formula, we find the area of the triangle as follows:
Area = (1/2) × 490 ft × 110 ft = 26,950 square feet.

Next, the area of one parking spot is 10 feet by 6 feet, which is 60 square feet. The number of parking spots within the parking lot is the area of the lot divided by the area of one parking spot:
Number of spots = 26,950 sq ft / 60 sq ft per spot ≈ 449 spots.

To find out how many people the parking lot can hold, we multiply the number of parking spots by the number of people per spot:
Total number of people = 449 spots × 32 people per spot = 14,368 people.

User Rtruszk
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