SOLUTION: A rectangle has an area of 18cm squared. The lengths of the sides are all whole numbers. How long of the sides of the rectangle be

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Question 1116984: A rectangle has an area of 18cm squared. The lengths of the sides are all whole numbers. How long of the sides of the rectangle be
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
18=2%2A9=2%2A3%5E2
A factor of 2%2A3%5E2 is a number that can be written as
2%5Ea%2A3%5Eb where a can be 0 or 1, and b can be 0, 1, or 2.
So, there are 2%2A3=6 factors that (in pairs) multiply to yield 18 .
1%2A18=18 , 2%2A9=18 and 3%2A6=18 ,
The rectangle may be
1cm by 18cm, or
2cm by 9cm, or
3cm by 6cm.