A local business has an area reserved behind the store for a parking lot that is 78 meters long by 19 meters wide. The stalls of the lot are at 90° angles to a required aisle that bisects the lot. The aisle is 8 meters by 78 meters. An area reserved for a parking lot is 78 meters long by 19 meters wide. 2 stalls and an aisle are in the reserved area. The aisle is 78 meters long and 8 meters wide. Use the layout of the parking lot to answer the questions. What is the total area available for cars to park? m2. If the parking spaces are compact, they have an area of 12.5 m2. How many compact parking spaces will fit in the lot? . If the parking spaces are not compact, they will be 3 meters by 5.5 meters. How many noncompact parking spaces will fit in the lot?

Question

04-05-2022
Mathematics

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A local business has an area reserved behind the store for a parking lot that is 78 meters long by 19 meters wide. The stalls of the lot are at 90° angles to a required aisle that bisects the lot. The aisle is 8 meters by 78 meters. An area reserved for a parking lot is 78 meters long by 19 meters wide. 2 stalls and an aisle are in the reserved area. The aisle is 78 meters long and 8 meters wide. Use the layout of the parking lot to answer the questions. What is the total area available for cars to park? m2. If the parking spaces are compact, they have an area of 12.5 m2. How many compact parking spaces will fit in the lot? . If the parking spaces are not compact, they will be 3 meters by 5.5 meters. How many noncompact parking spaces will fit in the lot?

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Аноним Аноним · Answer 1 · 2022-05-04T17:33:27+02:00

The total area available for cars to park is 858 square meters, the number of compact parking space is 68 and the number of non-compact parking space is 52

The total area available

The dimension of the parking lot is:

78 meters by 19 meters

The dimension of the aisle is:

8 meters by 78 meters

The total area available is the difference between the area of the parking lot and the area of the aisle.

So, we have:

Available Area = 78 * 19 - 8 * 78

Available Area = 858

Hence, the total area available for cars to park is 858 square meters

The number of parking space

The total area available for cars to park is 858 square meters, and the area of each parking spot is 12.5 square meters

So, the number of parking lot is:

n = 858/12.5

n = 68.64

Remove the decimal

n = 68

Hence, the number of parking space is 68

The number of parking space for non-compact parking space

The total area available for cars to park is 858 square meters, and the dimension of each parking spot is 5.5 meter by 3 meters

So, the number of parking lot is:

n = 858/(5.5 * 3)

n = 52

Hence, the number of parking space is 52