SOLUTION: What rectangles have a perimeter of 52cm if both the length and width are whole numbers?[hint:there are 13 rectangles]

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Question 903564: What rectangles have a perimeter of 52cm if both the length and width are whole numbers?[hint:there are 13 rectangles]
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
ct l w 2w 2l p
1 1 25 50 2 52
2 2 24 48 4 52
3 3 23 46 6 52
4 4 22 44 8 52
5 5 21 42 10 52
6 6 20 40 12 52
7 7 19 38 14 52
8 8 18 36 16 52
9 9 17 34 18 52
10 10 16 32 20 52
11 11 15 30 22 52
12 12 14 28 24 52
13 13 13 26 26 52
now we repeat exchanging width for length
14 14 12 24 28 52
15 15 11 22 30 52
16 16 10 20 32 52
17 17 9 18 34 52
18 18 8 16 36 52
19 19 7 14 38 52
20 20 6 12 40 52
21 21 5 10 42 52
22 22 4 8 44 52
23 23 3 6 46 52
24 24 2 4 48 52
25 25 1 2 50 52

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What rectangles have a perimeter of 52cm if both the length and width are whole numbers?[hint:there are 13 rectangles]
------
Perimeter = 2(length + width)
----
52 = 2(length + width)
----
length + width = 26
-------
Rectangles::
length = 1; width = 25
length = 2; width = 24
...
...
length = 11; width = 15
length = 12; width = 14
length = 13; width = 13
================================
Cheers,
Stan H.