Math Problem Statement

The area of a square is 81 square units. What is the side length of the square?

Solution

The image shows a question about a square with an area of 81 square units. To solve this, you need to find the side length of the square.

  1. Formula for the area of a square: Area=side length2\text{Area} = \text{side length}^2

    In this case, the area is 81, so: side length2=81\text{side length}^2 = 81

  2. Solve for the side length: Take the square root of both sides to find the side length: side length=81\text{side length} = \sqrt{81}

    Since 81=9\sqrt{81} = 9, the side length of the square is 9 units.

Would you like more detailed steps or explanations on square roots or other related topics?

Here are 5 related questions:

  1. How can we calculate the square root of any number manually?
  2. What is the area of a square with a side length of 7 units?
  3. How is the concept of square roots applied in real-world problems?
  4. What is the cube root of 81?
  5. How do we find the side length of a rectangle if only the area and one side are known?

Tip: Always check that the square root is positive for side lengths since a side length cannot be negative.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Geometry

Formulas

Area of a square: Area = side length^2
Square root: √x

Theorems

The Pythagorean Theorem indirectly supports understanding of squares and square roots.

Suitable Grade Level

Grades 6-8