Question

find the area of this parallelogram. be sure to include the correct unit in your answer. the parallelogram has a side of 14 in and a height of 6 in (with a 7 in side also labeled).

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area \( A \) of a parallelogram is given by the formula \( A = base \times height \), where the base is the length of one of the parallel sides and the height is the perpendicular distance between the two parallel sides.

Step2: Identify the base and height from the diagram

From the diagram, the base of the parallelogram is \( 14 \) inches (the length of the side) and the height is \( 6 \) inches (the perpendicular distance, as indicated by the right angle symbol).

Step3: Calculate the area

Using the formula \( A = base \times height \), we substitute the values of the base and height. So, \( A = 14 \, \text{in} \times 6 \, \text{in} \).
Calculating the product: \( 14 \times 6 = 84 \). The units for area are square inches, so the area is \( 84 \, \text{in}^2 \).

Answer:

\( 84 \) square inches (or \( 84 \, \text{in}^2 \))