# A parking lot is to be formed by fencing in a rectangular plot of land except for an entrance 12 m wide. How do you find the dimensions of the lot of greatest area if 300 m of fencing is to be used?

##### 1 Answer

Jan 8, 2016

#### Answer:

The maximum area is obtained if the plot is

#### Explanation:

The perimeter of the plot must be

The perimeter is given by

For a quadratic of the form

For this parking lot

So the maximum area of the plot is 6084 sq .m.

Therefore the are of the plot is maximized if the plot is