MATH SOLVE

3 months ago

Q:
# 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 by 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.

Accepted Solution

A:

Answer:A) 234 feetB) Area of new parking lot = 28080 square feetC) 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 feetWidth of parking lot = 120 feetNumber of cars that can be parked = 75A) Increase in length Β = 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 feetNumber of cars we want to fit = 75 + 20 = 95Area 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.