Calculate Square Side Length: Finding x When Area = 144

Calculate the length of the sides of the square given that its area is equal to 144.

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Step-by-step video solution

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00:00 Find the side of the square
00:03 We'll use the formula for calculating the area of a square (side squared)
00:09 We'll substitute appropriate values and solve to find the side
00:18 Take the square root
00:22 When taking a square root there are always 2 solutions
00:29 The length of the side must be greater than 0
00:34 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Calculate the length of the sides of the square given that its area is equal to 144.

2

Step-by-step solution

To calculate the length of the sides of a square given that its area is 144, we follow these steps:

  • The problem gives us that the area of the square is 144. We are looking for the side length (s s ) of the square.
  • We use the formula for the area of a square: Area=side2 \text{Area} = \text{side}^2 . Substituting the given area, we have 144=s2 144 = s^2 .
  • We solve for s s by taking the square root of both sides: s=144 s = \sqrt{144} .
  • Calculating 144 \sqrt{144} , we find that s=12 s = 12 .

Therefore, the length of the sides of the square is 12.

This corresponds to choice 4: 144 \sqrt{144} , which emphasizes using the square root operation. However, the final calculation confirms that s=12 s = 12 .

3

Final Answer

144 \sqrt{144}

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\( \sqrt{100}= \)

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