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Let's break down the problem:

1. **The side of the square lot** is given as \((5x - 3)\) meters.
2. **Fencing materials** are required to enclose the square lot, meaning we need to calculate the perimeter.
3. The cost of the square lot is based on its **area**, and we know that one square meter costs ₱15,000.

### Steps to Solve:

1. **Perimeter of the Square:**
   The perimeter \( P \) of a square is given by the formula:
   \[
   P = 4 \times \text{side}
   \]
   Substituting the side of the square \((5x - 3)\):
   \[
   P = 4 \times (5x - 3)
   \]
   Simplifying:
   \[
   P = 20x - 12 \text{ meters}
   \]
   This is the number of meters of fencing required.

2. **Area of the Square:**
   The area \( A \) of a square is given by the formula:
   \[
   A = \text{side}^2
   \]
   Substituting the side \((5x - 3)\):
   \[
   A = (5x - 3)^2
   \]
   Expanding this:
   \[
   A = (5x - 3)(5x - 3) = 25x^2 - 30x + 9 \text{ square meters}
   \]

3. **Cost of the Lot:**
   The cost \( C \) is calculated by multiplying the area by the cost per square meter:
   \[
   C = \text{Area} \times \text{Cost per square meter}
   \]
   Given the cost per square meter is ₱15,000, we have:
   \[
   C = (25x^2 - 30x + 9) \times 15,000
   \]
   Simplifying the expression:
   \[
   C = 375,000x^2 - 450,000x + 135,000 \text{ pesos}
   \]

### Summary of Answers:
1. **Fencing materials needed**: \( 20x - 12 \) meters.
2. **Cost of the square lot**: \( 375,000x^2 - 450,000x + 135,000 \) pesos.

Would you like more details on any of the steps?

Here are 5 related questions for practice:
1. How would the answer change if the side of the square was doubled?
2. What would the perimeter be if \( x = 2 \)?
3. Calculate the area if \( x = 3 \).
4. What is the total cost if \( x = 4 \)?
5. How does the cost change if the price per square meter increased to ₱20,000?

**Tip:** Always check the dimensions of a shape before applying formulas for perimeter and area.

The side of a square lot is (5x - 3) meters. How many meters of fencing materials are needed to enclose the square lot? If one square meter of the lot costs ₱15,000, what is the cost of the square lot?

Learn how to calculate the perimeter and cost of a square lot with side (5x - 3) meters. This problem involves algebraic expressions for perimeter and area, along with cost calculations. Suitable for students in Grades 9-11.

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