Find the unknown measurement for the figure. 5. Square with area 81 square yards 6. Square with area 1,225 square feet 7. Square with area 102.01 square inches 8. Square with area 20.25 square cm 9. A square garden has a length of $$ 25 \frac{1}{2} $$ feet. What is the area of the garden?

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### **5. Square with Area 81 Square Yards**

**Given:**
- Area of the square, $$ A = 81 $$ square yards

**To Find:**
- Length of one side of the square, $$ s $$

**Solution:**
The area of a square is given by:
$$ A = s^2 $$

Solving for $$ s $$:
$$ s = \sqrt{A} = \sqrt{81} = 9 \text{ yards} $$

**Answer:**
Each side of the square is **9 yards** long.

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### **6. Square with Area 1,225 Square Feet**

**Given:**
- Area of the square, $$ A = 1,225 $$ square feet

**To Find:**
- Length of one side of the square, $$ s $$

**Solution:**
Using the area formula:
$$ s = \sqrt{A} = \sqrt{1,225} = 35 \text{ feet} $$

**Answer:**
Each side of the square is **35 feet** long.

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### **7. Square with Area 102.01 Square Inches**

**Given:**
- Area of the square, $$ A = 102.01 $$ square inches

**To Find:**
- Length of one side of the square, $$ s $$

**Solution:**
Using the area formula:
$$ s = \sqrt{A} = \sqrt{102.01} = 10.1 \text{ inches} $$

**Answer:**
Each side of the square is **10.1 inches** long.

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### **8. Square with Area 20.25 Square Centimeters**

**Given:**
- Area of the square, $$ A = 20.25 $$ square centimeters

**To Find:**
- Length of one side of the square, $$ s $$

**Solution:**
Using the area formula:
$$ s = \sqrt{A} = \sqrt{20.25} = 4.5 \text{ centimeters} $$

**Answer:**
Each side of the square is **4.5 centimeters** long.

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### **9. A Square Garden with a Side Length of $$ 25 \frac{1}{2} $$ Feet**

**Given:**
- Length of one side of the garden, $$ s = 25 \frac{1}{2} $$ feet

**To Find:**
- Area of the garden, $$ A $$

**Solution:**
First, convert the mixed number to an improper fraction or decimal:
$$ 25 \frac{1}{2} = 25.5 \text{ feet} $$

Using the area formula:
$$ A = s^2 = (25.5)^2 $$
$$ A = 650.25 \text{ square feet} $$

**Answer:**
The area of the garden is **650.25 square feet**.

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If you have any further questions or need additional explanations, feel free to ask!
- Each side of the 81 square yards square is 9 yards. - Each side of the 1,225 square feet square is 35 feet. - Each side of the 102.01 square inches square is 10.1 inches. - Each side of the 20.25 square centimeters square is 4.5 centimeters. - The garden with a side of 25 1/2 feet has an area of 650.25 square feet.

Find the unknown measurement for the figure. 5. Square with area 81 square yards 6. Square with area 1,225 square feet 7. Square with area 102.01 square inches 8. Square with area 20.25 square cm 9. A square garden has a length of \( 25 \frac{1}{2} \) feet. What is the area of the garden?

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