Micheael is planning to put fencing along the edge of his rectangular backyard , which is 22 yards by 16 yards . One long side of the backyard is along his house , so he will need to fence only 3 sides only 3 sides , how many yards of fencing will Michael need ?

Options

A. 38
B. 54
C. 60
D. 75

Answer

To determine how many yards of fencing Michael will need for his rectangular backyard, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the backyard**:
- The backyard is rectangular with dimensions 22 yards (length) and 16 yards (width).

2. **Understand the fencing requirement**:
- Michael only needs to fence three sides of the backyard because one long side (22 yards) is along his house.

3. **Calculate the total length of fencing needed**:
- Since he needs to fence three sides, we will include the length of one long side (16 yards) and both widths (16 yards each).
- The formula for the total fencing needed is:
\[ \text{Total Fencing} = \text{Length} + 2 \times \text{Width} \]
- Substituting the values:
\[ \text{Total Fencing} = 22 + 16 + 16 \]
- Simplifying this gives:
\[ \text{Total Fencing} = 22 + 32 = 54 \text{ yards} \]

4. **Final Answer**:
- Michael will need **54 yards** of fencing.