Questions: Find the area of the parallelogram.

Solution Steps

The area \( A \) of a parallelogram is given by the formula: \[ A = \text{base} \times \text{height} \]

From the given diagram:

• The base \( b \) of the parallelogram is 16 cm.
• The height \( h \) is not directly given, but we can find it using the right triangle formed by the height, the 5 cm segment, and the 13 cm segment.

In the right triangle: \[ 13^2 = h^2 + 5^2 \] \[ 169 = h^2 + 25 \] \[ h^2 = 144 \] \[ h = \sqrt{144} \] \[ h = 12 \, \text{cm} \]

Using the base and height: \[ A = 16 \, \text{cm} \times 12 \, \text{cm} \] \[ A = 192 \, \text{cm}^2 \]

Final Answer