Math Problem Statement

Relate the area of the square to the length of each side. Side length × Side length = √9

Solution

The image shows a question asking to relate the area of a square to the length of its sides. Here's how we can approach this:

  1. The area AA of a square is given by the formula: A=side length×side lengthA = \text{side length} \times \text{side length} This is equivalent to squaring the side length.

  2. You are then asked to compute the square root of 9: 9=3\sqrt{9} = 3

This is how the entries in the boxes should look:

  • Side length × Side length (in cm): The side length in both boxes should be the same since it's a square.
  • 9=3\sqrt{9} = 3: The value in the box should be "3".

Would you like a deeper explanation of how these formulas are derived or any other details?

Here are five related questions:

  1. How is the formula for the area of a square derived?
  2. What is the difference between the area and perimeter of a square?
  3. How do you calculate the side length of a square if you are given the area?
  4. What is the significance of square roots in geometry?
  5. Can the area of other shapes also be related to squares?

Tip: Always remember, the square root of a number is the value that, when multiplied by itself, gives that number.

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Math Problem Analysis

Mathematical Concepts

Geometry
Squares
Square Roots

Formulas

Area of a square: A = side length × side length
Square root: √9 = 3

Theorems

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Suitable Grade Level

Grades 5-7