A parallelogram is a four-sided shape with opposite sides that are parallel to each other. We’ll create a parallelogram from a rectangle and compare their areas. Let’s get started!
Step 1: Study the rectangle ABCD. Cut it out from the worksheet.
Step 2: On a separate sheet (Sheet B), draw another rectangle with the same measurements as rectangle ABCD. Name it PQRS.
Step 3: Cut out rectangle PQRS from Sheet B.
Step 4: Now, cut off a triangular portion from one side of the rectangle PQRS, just like the shaded portion shown in the worksheet.
Step 5: Create a parallelogram by pasting the triangular portion that you cut off from rectangle PQRS onto the opposite side of the rectangle, as shown in the worksheet.
Step 6: Now, let’s think about the areas of the rectangle and parallelogram. Look at the shapes and compare them. What can you say about their areas?
Answer: The area of the rectangle and parallelogram are the same. When we cut off the triangular portion from the rectangle and pasted it on the opposite side, we didn’t change the total amount of space inside the shape. We just rearranged it to create a parallelogram.
Now you know that the area of a rectangle and a parallelogram with the same base and height are equal. Keep practicing with the worksheet and have fun learning about the area of parallelograms!
Printable Area Of A Parallelogram Worksheets