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### Problem Description:
- **Parallelogram PQRS:**
  - QR = 20 cm
  - Height \( h = 8 \) cm (height from P to QR)
  - RS = 12 cm

### Tasks:
a) **Calculate the area of PQRS.**

b) **Calculate the perimeter of PQRS.**

### Solution:

#### a) Area of PQRS
The area of a parallelogram is calculated using the formula:
\[
\text{Area} = \text{Base} \times \text{Height}
\]
In this case, QR is the base, and \( h = 8 \) cm is the height perpendicular to it.

\[
\text{Area} = 20 \text{ cm} \times 8 \text{ cm} = 160 \text{ cm}^2
\]

So, the area of PQRS is \( 160 \text{ cm}^2 \).

#### b) Perimeter of PQRS
The perimeter of a parallelogram is calculated using the formula:
\[
\text{Perimeter} = 2 \times (\text{Base} + \text{Side})
\]
Here, the base is QR = 20 cm, and the side is RS = 12 cm.

\[
\text{Perimeter} = 2 \times (20 \text{ cm} + 12 \text{ cm}) = 2 \times 32 \text{ cm} = 64 \text{ cm}
\]

So, the perimeter of PQRS is \( 64 \text{ cm} \).

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Would you like more details or have any questions? Here are some related questions to explore:

1. How would the area formula change if PQRS were a different type of quadrilateral?
2. What would be the height if the area of PQRS was doubled but the base remained the same?
3. How do you calculate the area of a parallelogram if the sides and angles are known?
4. What is the difference between the perimeter and the area of a shape?
5. Can you derive the formula for the perimeter of a parallelogram?

**Tip:** Always ensure to use the perpendicular height when calculating the area of a parallelogram.

PQRS is a parallelogram with QR = 20 cm, h = 8 cm and RS = 12 cm. Calculate: a) The area of PQRS. b) The perimeter of PQRS.

Learn how to calculate the area and perimeter of parallelogram PQRS, where the base is 20 cm, the height is 8 cm, and the side length is 12 cm. This problem involves geometric concepts and key formulas for calculating area and perimeter, suitable for students in grades 6-8.

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