How long are the sides of a square if its area is equal to 100?
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How long are the sides of a square if its area is equal to 100?
To determine the length of the sides of a square when the area is given, we proceed as follows:
Therefore, the length of each side of the square is .
10
Look at the square below:
What is the area of the square equivalent to?
A square root is the number that, when multiplied by itself, gives you the original number. So because .
Think of it as side × side = side². Since all four sides of a square are equal, you're multiplying the same length twice!
You can still find the square root! For example, if area = 50, then side = . Use a calculator for non-perfect squares.
Length measurements are always positive! While too, a side length of -10 doesn't make sense in real life.
No, this only works for squares where all sides are equal. For rectangles, you need both length and width since Area = length × width.
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