SOLUTION: If the area of a rectangle is 24 inches squared, what are the possible whole number measurements of its length & width?

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Question 799096: If the area of a rectangle is 24 inches squared, what are the possible whole number measurements of its length & width?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
24=8%2A3=2%5E3%2A3
All the factors of 24 will be of the form 2%5Ex%2A3%5Ey
where x can be 0, 1, 2,or 3,
and y can be 0, or 1.
There are 4%2A2=8 options, meaning 8%2F2=4 pairs of factors:
1%2A24=24,
2%2A12=24,
3%2A8=24, and
4%2A6=24.
So the rectangle could be
24 inches long by 1 inch wide, or
12 inches long by 2 inches wide, or
8 inches long by 3 inches wide, or
6 inches long by 4 inches wide.