Question

of a polygon
n. each square on the grid repres
wers are mixed up at the bottom
ers as you complete the problem
2 grid with shaded parallelogram
24 cm²

Explanation:

To find the area of the parallelogram (the shaded polygon), we use the formula for the area of a parallelogram: \( A = base \times height \).

Step 1: Identify the base

Looking at the grid, the base of the parallelogram spans 6 units (since it covers 6 squares horizontally).

Step 2: Identify the height

The height (vertical distance between the two parallel sides) spans 4 units (covers 4 squares vertically).

Step 3: Calculate the area

Using the formula \( A = base \times height \), substitute the base (\( 6 \)) and height (\( 4 \)):
\( A = 6 \times 4 = 24 \) (assuming each square has a side length of 1 unit, so the area is in square units, e.g., \( \text{cm}^2 \) as noted).

Answer:

The area of the polygon (parallelogram) is \( \boldsymbol{24} \) square units (e.g., \( 24 \, \text{cm}^2 \)).