Math Problem Statement

A=121ft what is the length of each side

Solution

If A=121ft2A = 121 \, \text{ft}^2 represents the area of a square, the length of each side can be found using the formula for the area of a square:

A=s2A = s^2

where ss is the length of each side. To find ss, take the square root of the area:

s=A=121=11fts = \sqrt{A} = \sqrt{121} = 11 \, \text{ft}

So, the length of each side is 11 feet.

Would you like more details or have any questions?

Here are 5 related questions you might find useful:

  1. How do you calculate the perimeter of a square with side length 11 ft?
  2. What is the diagonal length of the square with side length 11 ft?
  3. How would the area change if the side length were doubled?
  4. How do you find the area of a rectangle if one side is 11 ft?
  5. How do you calculate the area of a square if the perimeter is given?

Tip: The area of any square is always proportional to the square of its side length!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Square
Square Roots

Formulas

Area of a Square: A = s^2
Square Root: s = √A

Theorems

Pythagorean Theorem (optional for related questions about diagonal)

Suitable Grade Level

Grades 6-8