If you have a rectangular space with dimensions of 180 ft. x 75 ft., and 20,000 square feet is required by 45 cars, do you have sufficient space for 46 cars?
yes or no?
180*75 = 13500
You don't even have room for 45 cars, much less 46!
To determine if there is sufficient space for 46 cars in a rectangular space with dimensions of 180 ft. x 75 ft., we can calculate the area required for each car and compare it to the available space.
First, find the area of the rectangular space:
Area = length × width
Area = 180 ft. × 75 ft.
Area = 13,500 square feet
Next, calculate the area required for each car:
Required area per car = Total area required ÷ Number of cars
Required area per car = 20,000 square feet ÷ 45 cars
Required area per car ≈ 444.44 square feet/car
Now, check if there is sufficient space for 46 cars:
Total area required for 46 cars = Required area per car × Number of cars
Total area required for 46 cars = 444.44 square feet/car × 46 cars
Total area required for 46 cars ≈ 20,444.64 square feet
Comparing the total area required for 46 cars (20,444.64 square feet) to the available space (13,500 square feet), we can see that there is not enough space for 46 cars.
Therefore, the answer is no, you do not have sufficient space for 46 cars.