Question

find the area of this parallelogram. be sure to include the correct unit in your answer. 14 ft, 11 ft, 11 ft (with a parallelogram diagram and unit options ft, ft², ft³)

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area of a parallelogram is given by the formula \( A = base \times height \), where the base is the length of one of the sides, and the height is the perpendicular distance from that base to the opposite side.

Step2: Identify the base and height from the diagram

From the diagram, we can see that the base of the parallelogram is \( 14 \, \text{ft} \) and the height (the perpendicular distance corresponding to this base) is \( 11 \, \text{ft} \).

Step3: Calculate the area

Using the formula \( A = base \times height \), we substitute the values of the base and height. So, \( A = 14 \, \text{ft} \times 11 \, \text{ft} \).

Calculating the product: \( 14 \times 11 = 154 \). And since we are multiplying feet by feet, the unit of area is square feet (\( \text{ft}^2 \)).

Answer:

\( 154 \, \text{ft}^2 \)