To solve this problem, we need to find the area of the trapezoid shown in the image. Let's analyze the diagram and the given measurements:

1. Dimensions of the trapezoid:

   • The length of the top parallel side (AB) = 24 cm.
   • The length of the bottom parallel side (CD) = 35 cm.
   • The perpendicular height (distance between the parallel sides) = 20 cm.

2. Formula for the area of a trapezoid:

$\text{Area} = \frac{1}{2} \times ( \text{Base}_1 + \text{Base}_2 ) \times \text{Height}$

Plugging in the values:

$\text{Area} = \frac{1}{2} \times (24 + 35) \times 20$

$= \frac{1}{2} \times 59 \times 20$

$= 590 \, \text{cm}^2$

So, the area of the trapezoid is 590 cm².

Would you like more details or have any questions?

Here are some additional questions you might find interesting:

1. How do we find the perimeter of a trapezoid?
2. What other properties of trapezoids are useful in geometry problems?
3. How does the formula for the area of a trapezoid differ from that of a parallelogram?
4. How can we find the height of a trapezoid if it is not given directly?
5. Can the formula for the area of a trapezoid be used for any other shapes?

Tip: Remember, the area of a trapezoid can also be visualized as the average length of the two parallel sides multiplied by the height.