what is the greatest perimeter of a rectangle with an area of 39 square feet

6 answers

there is no limit.
There must be some other considerations.
well it said on my homework
Do the dimensions have to be in whole numbers?
Well, your homework is poorly stated.
Here is an example of what Steve is saying:

suppose the width is .1 ft
then the length = 39/.1 or 390 ft
perimeter = 2(390) + 2(.1) = 780.2 ft

check: area = .1(390) = 39

suppose the width is .001 ft
then the length is 39/.001 or 39000 ft
perimeter = 2(39000) + 2(.001) = pretty big

As you can see we can make the perimeter as large as we want to by making the width smaller and smaller, and still keep an area of 39
I had it on my homework too.
My Work said
What is the greatest perimeter that you can make with a rectangle that has an area of 24 square units? Draw and label all of your attempts below. Be sure that your final solution has the largest perimeter.