One side of a parallelogram is 18 cm long and its area is `153 cm^(2)`. Find the distance of the given side from its opposite side.

Options

A. 6.5cm
B. 7.5cm
C. 8.5cm
D. 9.5cm

Answer

To find the distance between the given side of the parallelogram and its opposite side, we can use the formula for the area of a parallelogram. Here’s the step-by-step solution:

### Step 1: Write down the formula for the area of a parallelogram.
The area \( A \) of a parallelogram can be calculated using the formula:
\[ A = \text{Base} \times \text{Height} \]

### Step 2: Identify the given values.
From the problem, we know:
- Area \( A = 153 \, \text{cm}^2 \)
- Base \( \text{Base} = 18 \, \text{cm} \)

### Step 3: Substitute the known values into the area formula.
Using the values we have:
\[ 153 = 18 \times \text{Height} \]

### Step 4: Solve for the height.
To find the height, we can rearrange the equation:
\[ \text{Height} = \frac{153}{18} \]

### Step 5: Perform the division.
Now, we will divide \( 153 \) by \( 18 \):
\[ \text{Height} = \frac{153}{18} = 8.5 \, \text{cm} \]

### Conclusion:
The distance from the given side to the opposite side of the parallelogram is \( 8.5 \, \text{cm} \).

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