13. What is the perimeter of a rectangular park that measures $$ 20 \frac{7}{4} $$ yards by $$ 32 \frac{5}{8} $$ yards? $$ 5 . A R .1 .2,5 . G R .2 .1 $$

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To find the perimeter of a rectangular park, you can use the formula:

$$
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
$$

Given:
- **Length** = $$ 20 \frac{7}{4} $$ yards
- **Width** = $$ 32 \frac{5}{8} $$ yards

First, convert the mixed numbers to improper fractions or decimals for easier calculation.

### Step 1: Convert Mixed Numbers to Improper Fractions

1. **Length**: $$ 20 \frac{7}{4} $$
   $$
   20 \frac{7}{4} = \left(20 \times 4\right) + 7 = 80 + 7 = \frac{87}{4} \text{ yards}
   $$

2. **Width**: $$ 32 \frac{5}{8} $$
   $$
   32 \frac{5}{8} = \left(32 \times 8\right) + 5 = 256 + 5 = \frac{261}{8} \text{ yards}
   $$

### Step 2: Calculate the Perimeter

$$
\text{Perimeter} = 2 \times \left( \frac{87}{4} + \frac{261}{8} \right)
$$

First, find a common denominator for the fractions:

$$
\frac{87}{4} = \frac{174}{8}
$$

Now, add the two fractions:

$$
\frac{174}{8} + \frac{261}{8} = \frac{435}{8}
$$

Multiply by 2:

$$
\text{Perimeter} = 2 \times \frac{435}{8} = \frac{870}{8} = \frac{435}{4} \text{ yards}
$$

### Step 3: Convert Back to a Mixed Number (Optional)

$$
\frac{435}{4} = 108 \frac{3}{4} \text{ yards}
$$

### **Final Answer**

The perimeter of the rectangular park is **$$ 108 \frac{3}{4} $$ yards**.
The perimeter of the rectangular park is $$ 108 \frac{3}{4} $$ yards.

13. What is the perimeter of a rectangular park that measures \( 20 \frac{7}{4} \) yards by \( 32 \frac{5}{8} \) yards? \( 5 . A R .1 .2,5 . G R .2 .1 \)

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