https://file.aiquickdraw.com/mathbot/file/1729604664765jh5bs1lu.jpg

The question in the image asks to find the area of the pentagon \( ABCDE \), where \( ABCD \) is a rectangle and \( \triangle CDE \) is a right triangle with \( \angle D = 90^\circ \). The dimensions provided are:

- \( ED = 3 \, \text{cm} \)
- \( CD = 6 \, \text{cm} \)

### Steps to find the total area:

1. **Area of rectangle \( ABCD \):**
   Since \( ABCD \) is a rectangle, its area can be calculated using the formula:
   \[
   \text{Area of rectangle} = \text{length} \times \text{width} = AB \times AD = AB \times CD
   \]
   But we don't know \( AB \). So we'll calculate the area of triangle \( CDE \) first.

2. **Area of triangle \( CDE \):**
   Since \( \triangle CDE \) is a right triangle, its area is:
   \[
   \text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times CD \times ED = \frac{1}{2} \times 6 \times 3 = 9 \, \text{cm}^2
   \]

3. **Total area of pentagon \( ABCDE \):**
   The total area is the sum of the area of rectangle \( ABCD \) and the area of triangle \( CDE \). Based on the options given, the area of the pentagon could be 54, 60, or another value. But first, we need the dimensions of the rectangle.

Given the options and the fact that the triangle's area is already 9 cm², we hypothesize the rectangle's area might be the key to one of the answer choices.

Would you like more details or have any questions about this? Here are some questions to expand:

1. How is the formula for the area of a right triangle derived?
2. What are some other properties of right triangles?
3. Can the Pythagorean theorem be used here in any way?
4. How do you calculate the perimeter of a pentagon like \( ABCDE \)?
5. What are other ways to find areas of polygons using known methods?

**Tip:** Breaking a complex shape into simpler ones like rectangles and triangles is a great strategy for solving area problems.

Pada gambar berikut ini, ABCD adalah persegi dan CDE adalah segitiga siku-siku dengan sudut D = 90°. Jika panjang ED = 3 cm dan CD = 6 cm, maka luas segilima ABCDE adalah ... cm².

Calculate the area of pentagon ABCDE, where ABCD is a rectangle and CDE is a right triangle with a 90° angle at D. Given that ED = 3 cm and CD = 6 cm, this problem involves geometry and area calculation for both the rectangle and the triangle.

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