A village parking lot is 120 feet wide by 180 feet long, and it has room for 75 cars. the village plans to increase the length b
y 30%. A. what will be the new length of the parking lot?
B. how much greater is the new area?
C. if each cars needs about 288 square feet in a parking lot, will the new parking lot be able to fit 20 more cars than the original parking lot? explain.
C: No, it is able to fit 22 cars, and 22 is not 20.
To get a percentage increase, you multiply whatever you're increasing by 1.%(see that it's 1 point percent, 1 "." %)
So to get the new length, we multiply 180 * 1.30 to get a new length of 234 feet.
To find the old area, we multiply our width * our old length
120 * 180 = 21,600
To find the new area, we multiply our width * our new length
120 * 234 = 28,080
To find how much greater the new area is, we subtract the old area from the new area
28,080-21,600 = 6,480
So the new area is 6,480 feet^2 greater than the old area.
Let's start by seeing how many cars that the new area can fit in the first place. To do this, we'll divide our new area by 288.
28,080/288 = 97.5
We round this down instead of up because we cannot fit 0.5 of a car.
Now we check if 97 is 20 more than 75
97 - 75 = 22
So, here's the weird thing now. The question asks if the parking lot is able to fit "20 more cars," which is technically false, because it can fit 22. But if you believe the problem actually meant "20 cars or more," then the answer would be true. It's up to your own interpretation of the question at this point, but going by just what the question was asking, the answer is false.