Calculate Square Root: Finding Side Length When Area = 100

How long are the sides of a square if its area is equal to 100?

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Step-by-step video solution

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00:05 Let's find the length of the side of this square.
00:08 We'll use the formula for the area of a square, which is side, times side.
00:16 Next, we'll substitute the given area into the formula to solve for the side.
00:23 Now, take the square root of that number.
00:31 Remember, the square root gives us two possible answers.
00:37 Since a side length must be positive, we choose the positive number.
00:42 And that's how we find the side of the square!

Step-by-step written solution

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1

Understand the problem

How long are the sides of a square if its area is equal to 100?

2

Step-by-step solution

To determine the length of the sides of a square when the area is given, we proceed as follows:

  • Step 1: Recall the formula for the area of a square: Area=side2 \text{Area} = \text{side}^2 .
  • Step 2: We need to find the side length, so we rearrange the formula to solve for the side: side=Area \text{side} = \sqrt{\text{Area}} .
  • Step 3: Substitute the given area into the formula: side=100 \text{side} = \sqrt{100} .
  • Step 4: Calculate the square root: 100=10 \sqrt{100} = 10 .

Therefore, the length of each side of the square is 10 10 .

3

Final Answer

10

Practice Quiz

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\( \sqrt{100}= \)

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