Question

1. what is the area of the parallelogram? show your thinking. ( 3\frac{1}{3} ) cm 4 cm

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 and height are perpendicular to each other.

Step2: Identify the base and height from the diagram

From the diagram, the base of the parallelogram is \( 3\frac{1}{3} \, \text{cm} \) (which can be written as an improper fraction \( \frac{10}{3} \, \text{cm} \)) and the corresponding height is \( 4 \, \text{cm} \).

Step3: Calculate the area

Substitute the values of the base and height into the formula:
\[
A = \frac{10}{3} \times 4
\]
\[
A = \frac{40}{3} = 13\frac{1}{3} \, \text{square centimeters}
\]

Answer:

The area of the parallelogram is \( 13\frac{1}{3} \, \text{cm}^2 \) (or \( \frac{40}{3} \, \text{cm}^2 \)).