Math CentralQuandaries & Queries


Question from debbie, a parent:

how many dimensions are there to get a perimeter of 400 feet for a rectangle?

Hi Debbie,

I'm not sure what you are asking. The perimeter of a two dimensional shape is the distance around it. Thus for example if your rectangle is 150 feet long and 50 feet wide then the distance around is

150 + 50 + 150 + 50 = 400 feet.

If the rectangle happens to be a square with each side measuring 100 feet then the perimeter is

4 × 100 = 400 feet.

There are many other choices for the length and width that give a perimeter of 400 feet.


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