https://file.aiquickdraw.com/mathbot/file/1728492794678bztpyttg.jpg

Let's go through the questions one by one:

### Question 13:
The problem asks for the values of \( B \) (base) and \( H \) (height) of the triangle when the area is given as 41 square centimeters. 

The area of a triangle is given by:

\[
\text{Area} = \frac{1}{2} \times B \times H
\]

Given that the area is 41 cm²:

\[
\frac{1}{2} \times B \times H = 41
\]

\[
B \times H = 82
\]

We need to check which of the given options satisfies \( B \times H = 82 \):

- **Option A**: \( B = 3 \), \( H = 5 \)  
  \( 3 \times 5 = 15 \) (Not correct)

- **Option B**: \( B = 5 \), \( H = 3 \)  
  \( 5 \times 3 = 15 \) (Not correct)

- **Option C**: \( B = 6 \), \( H = 7 \)  
  \( 6 \times 7 = 42 \) (Not correct)

- **Option D**: \( B = 5 \), \( H = 6 \)  
  \( 5 \times 6 = 30 \) (Not correct)

None of the options directly satisfy the equation \( B \times H = 82 \). Could you please verify if there are other possibilities or provide any additional context?

### Question 14:
The question asks which of the following is **not** a property of both a square and a rhombus.

- **Option A**: Lengths of all sides are equal.  
  This is true for both a square and a rhombus.

- **Option B**: The diagonals are equal.  
  This is **only true for a square**, not a rhombus. In a rhombus, diagonals are not necessarily equal; they bisect each other at right angles.

- **Option C**: There are two pairs of parallel sides.  
  This is true for both a square and a rhombus.

- **Option D**: Opposite angles are equal.  
  This is true for both a square and a rhombus.

Thus, the correct answer is **B**.

### Summary:
- For Question 13: None of the provided options match the condition. Please verify the options again.
- For Question 14: The correct answer is **B**.

Do you have any questions, or would you like further details?

### Additional Questions:
1. Can you verify the dimensions or provide further details for Question 13?
2. What other properties differentiate a square from a rhombus?
3. Could the triangle in Question 13 be part of a composite shape affecting the area?
4. Are the base and height values provided in the options accurate and complete?
5. How do the properties of diagonals in a square differ from those in other quadrilaterals?

**Tip:** Always verify the dimensions and properties given in geometry problems, as even slight changes can significantly affect the solution.

The brown shaded area is 41 square centimeters. What are the values of B and H, in centimeters? Which of the following is not a property of both a square and a rhombus?

Learn how to determine the base and height of a triangle given its area, along with exploring the differences between the properties of squares and rhombuses. Suitable for Grades 7-9.

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