Question

find the area of this parallelogram. be sure to include the correct unit in your answer. 12 in, 10 in, 14 in, in, in², in³

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area \( A \) of a parallelogram is given by the formula \( A = base \times height \).

Step2: Identify the base and height from the diagram

From the diagram, the base of the parallelogram is \( 14 \) inches and the height (the perpendicular distance between the bases) is \( 10 \) inches.

Step3: Calculate the area

Using the formula \( A = base \times height \), substitute the values of base and height: \( A = 14 \, \text{in} \times 10 \, \text{in} \).
Calculating the product: \( 14 \times 10 = 140 \). The unit for area is square inches, so the area is \( 140 \, \text{in}^2 \).

Answer:

\( 140 \, \text{in}^2 \)