Question

write an equation for the area, a, of the parallelogram shown.
a = 3 • \\(\frac{2}{3}\\)
now find the area of the parallelogram.
a = \\(square\\) ft²
(image of parallelogram with base 3 ft and height \\(\frac{2}{3}\\) ft)

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area \( A \) of a parallelogram is given by the formula \( A = \text{base} \times \text{height} \). From the diagram, the base of the parallelogram is \( 3 \) ft and the height is \( \frac{2}{3} \) ft. So the equation for the area is \( A = 3 \times \frac{2}{3} \).

Step2: Calculate the area

To find the area, we multiply \( 3 \) by \( \frac{2}{3} \). Using the rule of multiplying a whole number by a fraction, \( 3\times\frac{2}{3}=\frac{3\times2}{3} \). The \( 3 \) in the numerator and the \( 3 \) in the denominator cancel out, leaving us with \( 2 \).

Answer:

\( 2 \)