SOLUTION: Several rectangles with a perimeter of 14 cm have widths and lengths that are a natural number of centimeters. How many different areas are possible for these rectangles?

Question 1061802: Several rectangles with a perimeter of 14 cm have widths and lengths that are a natural number of centimeters. How many different areas are possible for these rectangles?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

If , ---> .
How many ways can we make with natural numbers (the positive integers we use to count)?
Let us count the ways, starting with and going wider:
--->
--->
--->
We cannot say is an option,
because the way we define those words ,
and anyway, we would find the same area: .
So, there are different possible areas.
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