Parallelogram Sides 1F03E1
1. **Problem Statement:** We have a parallelogram PQRS with sides PQ = 13 units, QR = (2x - 1) units, and RS = (2x - 3) units. We need to find the measure of side PS.
2. **Important Property:** In a parallelogram, opposite sides are equal in length. Therefore, PQ = RS and QR = PS.
3. **Using the property:** Since PQ = RS, we set:
$$13 = 2x - 3$$
4. **Solve for x:**
$$2x - 3 = 13$$
$$2x = 13 + 3$$
$$2x = 16$$
$$x = \frac{16}{2} = 8$$
5. **Find PS:** Since PS = QR, and QR = (2x - 1), substitute $x=8$:
$$PS = 2(8) - 1 = 16 - 1 = 15$$
6. **Final answer:** The measure of side PS is **15 units**.