To write an expression for the perimeter and area of the given square (assuming the figure is a square due to the equal side notation), let's use the given measurements.

Given:

• One side of the square is 5.
• The other side (labeled as $x$) is also 5 (since it’s a square).

Expressions:

1. Perimeter of the Square: The perimeter $P$ of a square is given by the formula: $P = 4 \times \text{side length}$ Here, the side length is 5. Thus, $P = 4 \times 5 = 20$

2. Area of the Square: The area $A$ of a square is given by the formula: $A = \text{side length}^2$ Here, the side length is 5. Thus, $A = 5^2 = 25$

Final Expressions:

• Perimeter: $P = 20$
• Area: $A = 25$

Would you like more details or have any questions?

Here are 8 related questions you might find interesting:

1. How do you derive the formula for the perimeter of a square?
2. How do you derive the formula for the area of a square?
3. What are the properties of a square?
4. How would the perimeter and area change if the side length were doubled?
5. How do the formulas for perimeter and area differ between squares and rectangles?
6. What is the relationship between the side length of a square and its diagonal?
7. How would you find the area of a square if only the perimeter is known?
8. Can the formulas for a square be applied to other quadrilaterals?

Tip: Remember, the key difference between a square and a rectangle is that all sides of a square are equal, whereas a rectangle has opposite sides that are equal.