SOLUTION: If I have a square with an area = .5"^2 and I want to know the length of the side, I would normally use Sqrt(.5) to obtain the side length. For numbers >=1, this works and makes s
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Question 412086: If I have a square with an area = .5"^2 and I want to know the length of the side, I would normally use Sqrt(.5) to obtain the side length. For numbers >=1, this works and makes sense. With numbers <1, the math works, but does not make sense. Sqrt(.5)= .71. The sides of the square are larger than the area of the square. If i convert the area to CM's, everything works as expected (this creates numbers >=1). If my area = 4"^2, then sqrt (4) = 2" length of side. This makes sense.
How do I correctly calculate the side of a square when the area of that square is less than 1?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Just because the number is larger doesn't mean anything. You are comparing apples to oranges. The sides are linear units and the area is in square units.
Consider a square that is one unit on a side. The area of such a square would be one square unit. Now consider a square that is 1/2 unit on a side. Then the area of that smaller square would be 1/2 times 1/2 = 1/4 square unit. But if you draw yourself a picture of the situation, you will see that this makes perfectly good sense.
John
My calculator said it, I believe it, that settles it
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