Question

write an equation for the area, a, of the parallelogram shown. a = | • ?

Explanation:

Step1: Recall the formula for the area of a parallelogram

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

Step2: Identify the base and height from the diagram

From the diagram, the base of the parallelogram is \( 3 \) ft and the height (the perpendicular distance between the bases) is \( \frac{2}{3} \) ft.

Step3: Substitute the base and height into the formula

Substituting the values of base and height into the formula \( A = \text{base} \times \text{height} \), we get \( A=3\times\frac{2}{3} \). But in general form, using the identified base and height, the equation for the area is \( A = 3\times\frac{2}{3} \) (or in terms of the given placeholders, the first box is the base \( 3 \) and the second box is the height \( \frac{2}{3} \), so \( A = 3\cdot\frac{2}{3} \)).

Answer:

\( A = 3\cdot\frac{2}{3} \) (or if we consider the general formula with base and height, the equation is \( A=\text{base}\times\text{height} \) with base \( 3 \) ft and height \( \frac{2}{3} \) ft, so filling the boxes: \( A = 3\cdot\frac{2}{3} \))