https://file.aiquickdraw.com/mathbot/file/1722879748651aillx6ig.jpg

It seems you have uploaded another image. The task appears to be the same: finding the area of a rhombus given its diagonals.

Based on the uploaded image, let's verify the diagonals. Assuming they are still \(90\) units and \(40\) units, the area calculation remains the same. Let's re-examine the details to ensure accuracy:

### Verifying the Rhombus Details:
1. **Diagonals**: 
   - \(d_1 = 90\) units
   - \(d_2 = 40\) units

### Calculating the Area:
The formula for the area of a rhombus given its diagonals is:
\[ \text{Area} = \frac{1}{2} \times d_1 \times d_2 \]

Plugging in the values:
\[ \text{Area} = \frac{1}{2} \times 90 \times 40 \]
\[ \text{Area} = \frac{1}{2} \times 3600 \]
\[ \text{Area} = 1800 \]

Therefore, the area of the rhombus is \(1800\) square units.

Would you like more details or have any questions?

Here are some related questions that expand on this topic:
1. What is the definition of a rhombus?
2. How do you find the length of the sides of a rhombus given its diagonals?
3. How can you prove that the diagonals of a rhombus bisect each other at right angles?
4. What other properties do rhombuses have?
5. How is the area of a rhombus related to the area of a parallelogram?
6. What is the relationship between the diagonals and the angles of a rhombus?
7. How can you find the perimeter of a rhombus if you know the lengths of the diagonals?
8. How does the area of a rhombus change if one diagonal is doubled?

**Tip:** In geometry problems, always double-check the given measurements and ensure the correct formula is used for the specific shape involved.

Learn how to calculate the area of a rhombus given its diagonals measuring 90 and 40 units. This problem involves using the area formula of a rhombus and verifying diagonal measurements. Suitable for high school students studying geometry.

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