The dimension of a rectangular garden are 12 1/2’ x 16 3/4’ if one 5/8’ is added all the sides and the new dimensions of the garden

To find the new dimensions of the rectangular garden after adding \( \frac{5}{8} \) feet to all sides, follow these steps:

### Original Dimensions:
- Length = \( 12 \frac{1}{2} \) feet
- Width = \( 16 \frac{3}{4} \) feet

### Step 1: Convert the mixed numbers to improper fractions.
- Length: \( 12 \frac{1}{2} = \frac{25}{2} \) feet
- Width: \( 16 \frac{3}{4} = \frac{67}{4} \) feet

### Step 2: Add \( \frac{5}{8} \) feet to each side.
- New Length: 
  \[
  \text{New Length} = \frac{25}{2} + 2 \times \frac{5}{8} 
  \]
- New Width:
  \[
  \text{New Width} = \frac{67}{4} + 2 \times \frac{5}{8}
  \]

### Step 3: Simplify the additions.
- New Length:
  \[
  \frac{25}{2} + \frac{10}{8} = \frac{25}{2} + \frac{5}{4} = \frac{50}{4} + \frac{5}{4} = \frac{55}{4} = 13 \frac{3}{4} \text{ feet}
  \]
- New Width:
  \[
  \frac{67}{4} + \frac{5}{4} = \frac{72}{4} = 18 \text{ feet}
  \]

### Final Answer:
- New Length: \( 13 \frac{3}{4} \) feet
- New Width: 18 feet

These are the new dimensions of the garden.

Would you like further details or have any questions? Here are some related questions to consider:

1. How do you convert mixed numbers to improper fractions?
2. What is the importance of adding the same amount to all sides of a rectangle?
3. How do you simplify fractions after addition?
4. What would the perimeter of the new garden be?
5. How would the area of the garden change after adding the extra length?

**Tip:** When working with mixed numbers, converting them to improper fractions can simplify calculations involving addition or subtraction.

Learn how to calculate the new dimensions of a rectangular garden after adding 5/8 feet to each side. This problem involves geometry and fractions, focusing on converting mixed numbers to improper fractions and adding measurements uniformly. Suitable for students in Grades 5-7.

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