Find the height of a parallelogram whose area is `54cm^(2)` and the base is 15 cm.

Options

A. 6.6cm
B. 3.6cm
C. 5.6cm
D. 4.6cm

Answer

To find the height of a parallelogram given its area and base, we can use the formula for the area of a parallelogram:

**Step 1: Write down the formula for the area of a parallelogram.**
The area (A) of a parallelogram is given by the formula:
\[ A = \text{base} \times \text{height} \]

**Step 2: Substitute the given values into the formula.**
We know the area (A) is 54 cm² and the base (b) is 15 cm. We can substitute these values into the formula:
\[ 54 = 15 \times h \]

**Step 3: Solve for the height (h).**
To find the height, we need to isolate h on one side of the equation. We can do this by dividing both sides of the equation by 15:
\[ h = \frac{54}{15} \]

**Step 4: Calculate the value of h.**
Now, we perform the division:
\[ h = \frac{54}{15} = 3.6 \, \text{cm} \]

**Step 5: State the final answer.**
The height of the parallelogram is:
\[ h = 3.6 \, \text{cm} \]

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