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:

Area=side length2\text{Area} = \text{side length}^2

To find the side length, you take the square root of the area:

side length=Area\text{side length} = \sqrt{\text{Area}}

Let's calculate each one step-by-step:

1. For 64 cm²:

side length=64=8cm\text{side length} = \sqrt{64} = 8 \, \text{cm}

2. For 100 m²:

side length=100=10m\text{side length} = \sqrt{100} = 10 \, \text{m}

3. For 81 m²:

side length=81=9m\text{side length} = \sqrt{81} = 9 \, \text{m}

Summary of Calculations:

  1. 64 cm² → Side length = 8 cm
  2. 100 m² → Side length = 10 m
  3. 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:

  1. How do you find the area of a square if only the perimeter is given?
  2. What happens to the side length if the area of a square is doubled?
  3. How does changing the units (e.g., from cm² to m²) affect the side length calculation?
  4. What is the side length of a square with an area of 144 cm²?
  5. 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