https://file.aiquickdraw.com/mathbot/file/17256454317426rq4f21v.jpg

Let's break down the two practice problems from the image you uploaded:

### 1. A square has an area of 81 square feet. Select all expressions that equal the side length of the square, in feet.

- To solve this, we need to recall that the area of a square is given by \( A = s^2 \), where \( s \) is the side length. 
- If the area is 81 square feet, we can find the side length by solving:
  
  \[
  s^2 = 81
  \]

- Taking the square root of both sides:

  \[
  s = \sqrt{81} = 9
  \]

So, the side length of the square is 9 feet. Now, select all the expressions that equal 9.

- A: \(\sqrt{81}\) = 9 → Correct.
- B: \(\sqrt{9}\) = 3 → Incorrect.
- C: \(\sqrt{81} \div 2\) = 9/2 = 4.5 → Incorrect.
- D: \(\sqrt{64}\) = 8 → Incorrect.
- E: 9 → Correct.

### 2. Write the exact value of the side length, in units, of a square whose area is:

We'll address each sub-question individually.

- a) **9.25 square units**:  
  Using the formula \( s = \sqrt{A} \), where \( A \) is the area,  
  \( s = \sqrt{9.25} \). Using a calculator:
  
  \[
  s \approx 3.041
  \]
  
  So, the side length is approximately **3.041 units**.

- b) **37 square units**:  
  \( s = \sqrt{37} \):
  
  \[
  s \approx 6.083
  \]
  
  So, the side length is approximately **6.083 units**.

- c) **7 square units**:  
  \( s = \sqrt{7} \):
  
  \[
  s \approx 2.646
  \]
  
  So, the side length is approximately **2.646 units**.

- d) **0.0001 square units**:  
  \( s = \sqrt{0.0001} \):
  
  \[
  s = 0.01
  \]
  
  So, the side length is exactly **0.01 units**.

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Let me know if you'd like further details or clarification!

### Related Questions:
1. What is the side length of a square with an area of 100 square units?
2. How do you find the side length of a rectangle if only the area is given?
3. What are some real-life applications of square root calculations?
4. Can you explain how to simplify square roots?
5. What is the relationship between the perimeter and area of a square?

### Tip:
Always remember that when finding the side length of a square, you must take the **positive square root** since side lengths are always positive!

Learn how to solve problems involving the area of a square and finding side lengths using square roots. This example calculates the side length of a square with an area of 81 square feet and provides solutions for other practice problems. Suitable for middle school students.

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