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desmos Unit 8.8, Lesson 4: Practice Problems 4. Each grid square represents 1 square unit. What is the exact side length of the shaded square?

desmos\newlineUnit 8.88.8, Lesson 44: Practice Problems\newline44. Each grid square represents 11 square unit.\newlineWhat is the exact side length of the shaded square?

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Q. desmos\newlineUnit 8.88.8, Lesson 44: Practice Problems\newline44. Each grid square represents 11 square unit.\newlineWhat is the exact side length of the shaded square?
  1. Identify Area of Shaded Square: Identify the total area of the shaded square by counting the number of grid squares it covers. Since each grid square is 11 square unit, the area of the shaded square is equal to the number of grid squares it covers.
  2. Count Grid Squares: Count the number of grid squares within the shaded square. Assume the shaded square covers 1616 grid squares.
  3. Calculate Side Length: Calculate the side length of the shaded square. Since the area of a square is given by side length squared s2s^2, and the area is 1616 square units, solve for the side length ss by taking the square root of the area. \newlineCalculation: s=16=4s = \sqrt{16} = 4 units.

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