What is the greatest possible area of a rectangle...?

Question

with a perimeter of 24 mm??

Answer 1

35mm^2

Since its a rectangle, both sides have different lengths, which in this case are 5 and 7. (5x7=35)(5+5+7+7=24)

Answer 2

A = lw if you were to graph this you would graph knowing that 24 would be cut into 4 peices at least 2 are the same side.  a = w(12 - w).  I think you'll find your answer in the square

Answer 3

As long as you are dealing with whole values.  candace is correct the largest maximum value is 35 because in order to maximize space you want to be as close to square as possible.  A perfect square would give you the most area but it would not be a rectangle.  

in order to be a rectangle the length and width must be different, but the amount of difference is not a set value so even if the difference was .0001 it would still be a rectangle.

if this is the case depending on how far you want to continue after the decimal you can continue to increase the amount of space    like L=5.9999  W=6.0001   gives you A=35.99999999    that is the maximum area down to 1billionth of a millimeter  and is still a rectangle.

but as far as this question is concerned candace is probably right.  I just wanted to over evaluate this problem.  lol

good luck

Answer 4

largest areas are with squares

36 mm^2 is the largest area since each side is 6 mm