Math CentralQuandaries & Queries


Question from angie, a parent:

Mary has 12 wood boards, each board is 1 yard long. She wants her garden to be shaped like a rectangle. What is the greatest area she can have for her garden?

Hi Angie,

It takes 12 boards to go all the way around the garden so it tales 6 boards to go half way around. Here is one possible arrangement.


What is the area of the garden in the arrangement above? What other possible arrangements are there? What are their areas?


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