Math Problem Statement

What is the side length of the square if the area is 64 in²?

Solution

The question in the image asks, "What is the side length of the square?" and provides an area A=64in2A = 64 \, \text{in}^2.

To find the side length ss of the square, you use the formula for the area of a square:

A=s2A = s^2

Given A=64in2A = 64 \, \text{in}^2, we can solve for ss by taking the square root of both sides:

s=64=8ins = \sqrt{64} = 8 \, \text{in}

So, the side length of the square is 8in8 \, \text{in}.

Would you like any more details on this process?

Here are 5 related questions for further exploration:

  1. How would you calculate the side length if the area was 100 square inches?
  2. What is the perimeter of a square with an 8-inch side length?
  3. How do you find the area of a rectangle with different side lengths?
  4. If the side length of a square is tripled, how does that affect the area?
  5. What is the square root of a number, and how is it related to area?

Tip: When working with areas of squares, the side length is always the square root of the area!

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Math Problem Analysis

Mathematical Concepts

Geometry
Square Roots
Area of a Square

Formulas

A = s² (Area of a square)
s = √A (Side length of a square from the area)

Theorems

Pythagorean Theorem (implicitly related to square roots)
Area Theorem of Squares

Suitable Grade Level

Grades 6-8