The perimeter of a parallelogram is 20 cm. If the longer side measures 6 cm, then measure of the shorter side is equal to

Answer

To find the measure of the shorter side of the parallelogram, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Perimeter Formula**:
The perimeter \( P \) of a parallelogram is given by the formula:
\[ P = 2 \times (a + b) \]
where \( a \) is the length of one side and \( b \) is the length of the adjacent side.

2. **Identify Given Values**:
From the problem, we know:
- The perimeter \( P = 20 \) cm
- The longer side \( a = 6 \) cm

3. **Set Up the Equation**:
We can substitute the known values into the perimeter formula:
\[ 20 = 2 \times (6 + b) \]

4. **Simplify the Equation**:
Divide both sides of the equation by 2:
\[ 10 = 6 + b \]

5. **Solve for the Shorter Side**:
To find \( b \), subtract 6 from both sides:
\[ b = 10 - 6 \]
\[ b = 4 \text{ cm} \]

6. **Conclusion**:
The measure of the shorter side is \( 4 \) cm.

### Final Answer:
The measure of the shorter side is **4 cm**.