Given the perimeter of a rectangle, the task is to find the maximum area of a rectangle which can use n-unit length as its perimeter.
Note: Length and Breadth must be an integral value.
Input: perimeter = 15 Output: Maximum Area = 12 Input: perimeter = 16 Output: Maximum Area = 16
Approach: For area to be maximum of any rectangle the difference of length and breadth must be minimal. So, in such case the length must be ceil (perimeter / 4) and breadth will be be floor(perimeter /4). Hence the maximum area of a rectangle with given perimeter is equal to ceil(perimeter/4) * floor(perimeter/4).
Below is the implementation of the above approach:
Maximum Area = 90
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