Question

find the area. simplify your answer. (the figure is a parallelogram with base 9 and height 2x, marked with a right angle.)

Explanation:

Step1: Recall the formula for the area of a parallelogram

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

Step2: Identify the base and height

From the diagram, the base of the parallelogram is \( 9 \) and the height is \( 2x \).

Step3: Calculate the area

Substitute the base and height into the formula: \( A = 9\times2x \).
Simplify the expression: \( 9\times2x = 18x \).

Answer:

\( 18x \)