Math Problem Statement

What is the area of a square with side lengths that are 25 inches? Use the formula A = s^2, where s is the length of one side.

Solution

The problem in the image asks for the area of a square with a side length of 25 inches, using the formula A=s2A = s^2, where ss is the length of one side.

Solution:

  1. The side length s=25ins = 25 \, \text{in}.
  2. Plug this into the formula for the area of a square: A=s2=252=625in2A = s^2 = 25^2 = 625 \, \text{in}^2

Final Answer:

The area of the square is 625 square inches.

Let me know if you need further explanation or have questions!

Expanding the concept:

  1. What is the perimeter of the same square with a side length of 25 inches?
  2. If the square was a rectangle with dimensions 25 inches by 30 inches, what would the area be?
  3. How would the area change if the side length were doubled?
  4. How is the area of a square different from the area of a circle with the same side length as the diameter?
  5. If Shea wants to leave a 2-inch margin around the poster on all sides, what would the new wall area required be?

Tip: Always square the side length when calculating the area of a square—it’s a quick and accurate way to solve!

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Math Problem Analysis

Mathematical Concepts

Geometry
Algebraic Expressions with Exponents

Formulas

Area of a Square: A = s^2

Theorems

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Suitable Grade Level

Grade 6