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

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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) About Me  (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) About Me  (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 matrix%281%2C4%2C7%2C1%2F2%2C+%22%D7%22%2C+1%2F2%29 rectangle

matrix%281%2C4%2CL%2C+%22=%22%2C+7%2C1%2F2%29, matrix%281%2C3%2CW%2C+%22=%22%2C+1%2F2%29

Then

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



No because a matrix%281%2C3%2C4%2C%22%D7%22%2C4%29 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