Math Problem Statement
calculate the side length of each square with each area. show your work well: 64cm squared, 100m squared, 81m squared
Solution
To find the side length of each square given the area, you use the formula for the area of a square:
To find the side length, you take the square root of the area:
Let's calculate each one step-by-step:
1. For 64 cm²:
2. For 100 m²:
3. For 81 m²:
Summary of Calculations:
- 64 cm² → Side length = 8 cm
- 100 m² → Side length = 10 m
- 81 m² → Side length = 9 m
Would you like to see more details or have any questions?
Here are some related questions you might find interesting:
- How do you find the area of a square if only the perimeter is given?
- What happens to the side length if the area of a square is doubled?
- How does changing the units (e.g., from cm² to m²) affect the side length calculation?
- What is the side length of a square with an area of 144 cm²?
- How do you calculate the side length of a square if the diagonal is given?
Tip: Always remember to match the units of measurement in your calculations for consistent results!
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Math Problem Analysis
Mathematical Concepts
Geometry
Square Roots
Formulas
Area of a Square = side length²
side length = √Area
Theorems
Pythagoras' theorem (implicitly related to diagonal and side length of squares)
Suitable Grade Level
Grades 6-8
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