Question

michael is finding the area of parallelogram abcd. to do this, he follows the steps in the table.

\

$$\begin{tabular}{|l|l|} \\hline step 1 & draw a rectangle around parallelogram abcd. \\\\ \\hline step 2 & find the area of the rectangle. \\\\ \\hline step 3 & find the area of the four right triangles created in the corners of the rectangle. \\\\ \\hline step 4 & subtract the area of the right triangles from the area of the rectangle. \\\\ \\hline \\end{tabular}$$

to solve the problem using these steps, what are the dimensions of the rectangle he should draw?

• 2 units by 4 units
• 3 units by 2 units
• 4 units by 4 units

Explanation:

Identify the coordinates of the vertices

Using the Area of Polygons knowledge point

$$
LATEXBLOCK0
$$

Determine the bounding box dimensions

Using the Composite Area knowledge point

$$
LATEXBLOCK1
$$

State the dimensions of the rectangle

Using the Composite Area knowledge point

$$ \text{Dimensions} = 4\text{ units by } 4\text{ units} $$

Answer:

• 2 units by 4 units
• 3 units by 2 units
• 4 units by 4 units (Correct answer)