Math Problem Statement

Work out the area of the square with a side length of 5 cm.

Solution

To calculate the area of the square:

The formula for the area of a square is:

Area=side2\text{Area} = \text{side}^2

Given that the side length of the square is 5 cm:

Area=52=25cm2\text{Area} = 5^2 = 25 \, \text{cm}^2

Final Answer: The area of the square is 25cm225 \, \text{cm}^2.

Let me know if you would like further explanation!


Here are 5 related questions to expand on this topic:

  1. What would be the area if the side length of the square was doubled?
  2. How does the perimeter of the square relate to the side length?
  3. If a rectangle has the same area as this square but one side is 10 cm, what is the other side's length?
  4. What is the relationship between the diagonal and the side length of a square?
  5. How would you find the area of a square with a side length given in meters instead of centimeters?

Tip: Always square the side length, not just multiply it by 2, when calculating the area of a square!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation

Formulas

Area of a square = side^2

Theorems

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Suitable Grade Level

Grades 4-6