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 .
To find the side length of the square, you use the formula for the area of a square:
Given , we can solve for by taking the square root of both sides:
So, the side length of the square is .
Would you like any more details on this process?
Here are 5 related questions for further exploration:
- How would you calculate the side length if the area was 100 square inches?
- What is the perimeter of a square with an 8-inch side length?
- How do you find the area of a rectangle with different side lengths?
- If the side length of a square is tripled, how does that affect the area?
- 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