Question

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? .

Answer 1

The true statements are:

• The total area available is 858 square meters
• The number of compact parking space is 68
• The number of non-compact parking space is 52

The total area available for cars to park

From the complete question, we have the dimensions of the parking lot to be: 78 meters by 19 meters

Also, the dimension of the aisle is: 8 meters by 78 meters

The total parking area is the difference between the parking lot area and the aisle area

This gives

Parking Area = 78 * 19 - 8 * 78

Parking Area = 858

The total area available for cars to park is 858 square meters

The number of parking space

The number of parking lot is the quotient of the total parking area and the area of each compact

So, we have:

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 number of parking lot is the quotient of the total parking area and the area of each non-compact space

So, we have:

n = 858/(5.5 * 3)

n = 52

Hence, the number of parking space is 52

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