SOLUTION: is it possible to have an area of a rectangle of less than 7, with a perimeter of 16? Is is possible to have an area of a rectangle larger than 16 with a perimeter of 16? I

Question 168231: is it possible to have an area of a rectangle of less than 7, with a perimeter of 16?
Is is possible to have an area of a rectangle larger than 16 with a perimeter of 16?
I can't figure out either....
Found 2 solutions by Mathtut, Edwin McCravy:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
in the 1st, yes is the answer. try a rectangle that is (1/2)by 13 area is less than 7 and perimeter is quite a bit bigger than 16.
I believe that a square will give the biggest area of a rectangle with any given perimeter, and the area of a square with a perimeter of 16 is 16 so I would say no on the 2nd part.
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
Edwin's solution:
is it possible to have an area of a rectangle of less than 7, with a perimeter of 16?

Yes, an example would be a rectangle , Then

Is is possible to have an area of a rectangle larger than 16 with a perimeter of 16?

No because a square has area and perimeter
of 16. And a square is the rectangle with the most area for the
least perimeter and also with the least perimeter for the most area.
Edwin

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