Respuesta :
The area available for parking is the area reserved for the parking lot less
the area of the aisle.
- The total area available for cars to park 858 m²
- The number of compact parking space that will fit in the lot = 68 parking spaces.
- The number of noncompact parking spaces that will fit in the lot are 52 parking spaces.
Reasons:
First part;
The dimensions of the area reserved for the parking lot are;
Width of the area = 19 meters
Length of the area = 78 meters
The dimensions of the aisle that bisect the lot are;
Width of the isle = 8 meters
Length of the isle = 78 meters
The total area available for cars to park, A = Reserved area - Area of the isle
Therefore;
A = 78 × 19 - 78 × 8 = 858
The total area available for cars to park, A = 858 m²
Second part;
Given that area of the compact parking space = 12.5 m²
Number, n, of compact parking space that can fit the lot are therefore;
[tex]\displaystyle n = \mathbf{\frac{858}{12.5}} = 68.64[/tex]
The whole number part of the fraction, 68, gives the whole parking spaces
Therefore, 68 (whole) parking spaces will fit in the lot.
Third part;
The dimensions of the noncompact parking space = 3 m by 5.5 m
Number, n, of noncompact parking spaces that can fit into the lot is therefore;
[tex]\displaystyle n = \mathbf{ \frac{858 \ m^2}{3 \, m \times 5.5 \, m }} = 52[/tex]
If the parking space are noncompact, the number of parking space that will fit in the lot, n = 52 parking spaces
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