an area reserved for a parking lot is 80 feet long and 77 feet wide. the stalls of the lot are at 90° angles…

an area reserved for a parking lot is 80 feet long and 77 feet wide. the stalls of the lot are at 90° angles to two one - way aisles. each aisle is 80 feet by 10 feet. the three areas set aside for the parking spaces are congruent rectangles. each parking space will be 19 feet by 8 feet. what is the maximum number of parking spaces that will fit in the lot? 10 30 35 40

an area reserved for a parking lot is 80 feet long and 77 feet wide. the stalls of the lot are at 90° angles to two one - way aisles. each aisle is 80 feet by 10 feet. the three areas set aside for the parking spaces are congruent rectangles. each parking space will be 19 feet by 8 feet. what is the maximum number of parking spaces that will fit in the lot? 10 30 35 40

Answer

Explanation:

Step1: Calculate total area of parking - lot

The area of the parking - lot is $A_{total}=80\times77 = 6160$ square feet.

Step2: Calculate total area of aisles

There are 2 aisles, each with an area of $A_{aisle}=80\times10 = 800$ square feet. So the total area of the aisles is $A_{aisles}=2\times800 = 1600$ square feet.

Step3: Calculate total area available for parking spaces

$A = A_{total}-A_{aisles}=6160 - 1600=4560$ square feet.

Step4: Calculate area of one parking space

The area of one parking space is $A_{space}=19\times8 = 152$ square feet.

Step5: Calculate number of parking spaces

The number of parking spaces $n=\frac{A}{A_{space}}=\frac{4560}{152}=30$.

Answer:

30