Answer:
A) 234 feet
B) Area of new parking lot = 28080 square feet
C) The new parking lot will be able to fit 20 more cars than the original parking lot.
Step-by-step explanation:
We are given the following information:
Length of parking lot = 180 feet
Width of parking lot = 120 feet
Number of cars that can be parked = 75
A) Increase in length = 30%
New length =
[tex]\text{original length} + 30\%(\text{original length})[/tex]
[tex]= 180 + \bigg(\displaystyle\frac{30}{100}\times 180\bigg) = 180 + 54 = 234~feet[/tex]
B) New area =
[tex]\text{New length}\times Breadth\\= 234\times 120 \\= 28080~ square~feet[/tex]
C) Space required by 1 car = 288 square feet
Number of cars we want to fit = 75 + 20 = 95
Area required =
[tex]\text{Number of cars}\times \text{Space occupied by 1 car}[/tex]
[tex]= 95\times 288 = 27360~square~feet[/tex]
Hence, the new parking lot will be able to fit 20 more cars than the original parking lot.
