Math Problem Statement

Find the area of a square with side lengths of 7cm

Solution

The area AA of a square can be calculated using the formula:

A=s2A = s^2

where ss is the length of a side of the square. Given that the side length is 7 cm, the area is:

A=72=49cm2A = 7^2 = 49 \, \text{cm}^2

So, the area of the square is 49 cm².

Do you have any questions or need further details?

Here are 5 related questions for further exploration:

  1. What would the area of a square be if the side length was doubled?
  2. How do you find the perimeter of a square?
  3. What is the relationship between the diagonal and the side length of a square?
  4. How would the area change if the side length was halved?
  5. How do you find the area of a rectangle?

Tip: The diagonal of a square can be calculated using the Pythagorean theorem: d=s2d = s\sqrt{2}.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Square

Formulas

Area of a square: A = s^2

Theorems

Pythagorean Theorem (for diagonal)

Suitable Grade Level

Grades 4-6