The diagram shows a trapezoid-shaped playground with two heights and a base. We can divide the playground into two shapes: a rectangle and a triangle. Let's calculate the area step by step:

Step 1: Identify the dimensions

• The top portion is a triangle with a height of 6 meters and a base of 16 meters.
• The lower portion is a rectangle with a height of 8 meters and a width of 20 meters.

Step 2: Calculate the area of the triangle

The formula for the area of a triangle is:

$\text{Area of Triangle} = \frac{1}{2} \times \text{base} \times \text{height}$

$\text{Area of Triangle} = \frac{1}{2} \times 16 \, \text{m} \times 6 \, \text{m} = 48 \, \text{m}^2$

Step 3: Calculate the area of the rectangle

The formula for the area of a rectangle is:

$\text{Area of Rectangle} = \text{width} \times \text{height}$

$\text{Area of Rectangle} = 20 \, \text{m} \times 8 \, \text{m} = 160 \, \text{m}^2$

Step 4: Calculate the total area

Now, add the areas of the triangle and the rectangle:

$\text{Total Area} = 48 \, \text{m}^2 + 160 \, \text{m}^2 = 208 \, \text{m}^2$

Thus, the total area of the playground is 208 m².

Would you like any further explanation or details? Here are some related questions:

1. How is the area of a trapezoid directly calculated?
2. What is the perimeter of this playground?
3. How does changing the height of the triangle affect the area?
4. How would you find the area if the shape was irregular?
5. What other real-world situations involve calculating areas like this?

Tip: Dividing complex shapes into simpler ones (e.g., rectangles and triangles) makes it easier to calculate areas accurately.