https://file.aiquickdraw.com/mathbot/file/1727857507781rpg0hsdt.jpg

The problem in the image asks for expressions to calculate the perimeter ("omkreds") and area ("areal") of a square with side length \( a \). Here are the expressions:

1. **Perimeter**: The perimeter of a square is the sum of all four sides. Since each side is of length \( a \), the perimeter is:
   \[
   \text{Perimeter} = 4 \times a = 4 * a
   \]

2. **Area**: The area of a square is the length of one side squared. Since each side is of length \( a \), the area is:
   \[
   \text{Area} = a^2 = a * a
   \]

Would you like more details or have any further questions?

Here are 5 related questions to expand the topic:
1. How does the formula for the perimeter change for a rectangle?
2. What happens to the area if the side length \( a \) doubles?
3. Can you derive the formulas for perimeter and area for any polygon?
4. How does the area of a square relate to the area of a circle inscribed in it?
5. What real-world situations might require calculating the perimeter or area of a square?

**Tip:** Always remember that the area is in square units (like \( \text{cm}^2 \)) while the perimeter is in linear units (like cm).

Opstil et udtryk for figurens omkreds og areal. (brug * som gangetegn)

Learn how to calculate the perimeter and area of a square. The perimeter is the sum of all sides, and the area is the square of the side length. Understand key concepts in geometry with this simple example. Suitable for students in Grades 6-8.

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