Calculate Side Length: Finding Square Root of Area 16

How long are the sides of a square that has an area of 16?

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Step-by-step video solution

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00:00 Find the side of the square
00:03 Use the formula for calculating the area of a square (side squared)
00:10 Substitute appropriate values and solve to find the side
00:18 Take the square root
00:24 When taking a square root there are always 2 solutions
00:28 The side length must be greater than 0
00:32 And this is the solution to the question

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Understand the problem

How long are the sides of a square that has an area of 16?

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Step-by-step solution

We need to determine the side length of a square whose area is 16.

  • Step 1: Set up the equation using the area formula for a square, A=s2 A = s^2 . Given the area A=16 A = 16 , we have:
    s2=16 s^2 = 16
  • Step 2: Solve for s s by taking the square root of both sides:
    s=16 s = \sqrt{16}
  • Step 3: Calculate the square root:
    s=4 s = 4

Since a side length cannot be negative, we take only the positive square root. Therefore, the side length of the square is 4 4 , which corresponds to choice 4.

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Final Answer

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\( \sqrt{100}= \)

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