Find the area.

a = [?]ft²
16 ft, 12 ft and 14 ft
Shape: Parallelogram

1 answer

To find the area of a parallelogram, you can use the formula:

\[ \text{Area} = \text{base} \times \text{height} \]

In a parallelogram, the base and the height must be perpendicular to each other. In the case you've given dimensions of 16 ft, 12 ft, and 14 ft, we need to identify which of these measurements corresponds to the base and which corresponds to the height.

Assuming that the base of the parallelogram is 16 ft and the height is 12 ft (the height must be perpendicular to the base), the area would be:

\[ \text{Area} = 16 , \text{ft} \times 12 , \text{ft} = 192 , \text{ft}^2 \]

However, if the height is actually 14 ft and the base is 12 ft, the area would be:

\[ \text{Area} = 12 , \text{ft} \times 14 , \text{ft} = 168 , \text{ft}^2 \]

Without more context on the specific dimensions provided, if we proceed with the assumption of the common base-height configuration:

Assuming Base = 16 ft, Height = 12 ft:

\[ \text{Area} = 16 , \text{ft} \times 12 , \text{ft} = 192 , \text{ft}^2 \]

Thus, the area of the parallelogram is:

\[ \boxed{192 , \text{ft}^2} \]