SOLUTION: A rectangular garden with perimeter of 48m. The length and width of garden are whole numbers of meters. What might the dimensions and area of the garden be?

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Question 938588: A rectangular garden with perimeter of 48m. The length and width of garden are whole numbers of meters. What might the dimensions and area of the garden be?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter is .
If that is 48 , then
2%2A%28length%2Bwidth%29=48--->length%2Bwidth=48%2F2--->length%2Bwidth=24
If the length and width of garden are whole numbers of meters,
there are many possibilities (many pairs of whole numbers that add up to 24).
1) The dimensions (in meters) of the garden could be
system%28length=23%2Cwidth=1%29 and that means area=23%2A1m%5E2=23m%5E2 .
2) The dimensions (in meters) of the garden could be
system%28length=22%2Cwidth=2%29 and that means area=22%2A2m%5E2=44m%5E2 .
3) The dimensions (in meters) of the garden could be
system%28length=21%2Cwidth=3%29 and that means area=21%2A3m%5E2=63m%5E2 .
4) The dimensions (in meters) of the garden could be
system%28length=20%2Cwidth=4%29 and that means area=20%2A4m%5E2=80m%5E2 .
5) The dimensions (in meters) of the garden could be
system%28length=19%2Cwidth=5%29 and that means area=19%2A5m%5E2=95m%5E2 .
6) The dimensions (in meters) of the garden could be
system%28length=18%2Cwidth=6%29 and that means area=18%2A6m%5E2=108m%5E2 .
7) The dimensions (in meters) of the garden could be
system%28length=17%2Cwidth=7%29 and that means area=17%2A7m%5E2=119m%5E2 .
8) The dimensions (in meters) of the garden could be
system%28length=16%2Cwidth=8%29 and that means area=16%2A8m%5E2=128m%5E2 .
9) The dimensions (in meters) of the garden could be
system%28length=15%2Cwidth=9%29 and that means area=15%2A9m%5E2=135m%5E2 .
10) The dimensions (in meters) of the garden could be
system%28length=14%2Cwidth=10%29 and that means area=14%2A10m%5E2=140m%5E2 .
11) The dimensions (in meters) of the garden could be
system%28length=33%2Cwidth=13%29 and that means area=13%2A11m%5E2=143m%5E2 .
12) The dimensions (in meters) of the garden could be
system%28length=12%2Cwidth=12%29 and that means area=12%2A12m%5E2=144m%5E2 .
In that last case, the "rectangular" garden would really be a square garden, but I consider a square to be a rectangle (when talking school math). Talking to my 3-year old granddaughter I would always call a square a square, and I would not mention that a square is a special kind of rectangle. (I will wait until she is 5 to tell her that).