Calculating the Area of Parallelograms

In this video, Mr. J explains how to find the area of a parallelogram using the formula 'area equals base times height'. He provides four examples to demonstrate the calculation process, emphasizing the similarity to finding the area of a rectangle. The video also explains why the formula works by visualizing the transformation of a parallelogram into a rectangle. Each example involves writing the formula, plugging in the base and height, and calculating the area. The video concludes with a recap of the key points and a reminder of the formula's application.

What is the formula for finding the area of a parallelogram?

• Area = Length + Width

• Area = Base x Height

• Area = Side x Side

• Area = (Base + Height) / 2

Why does the formula for the area of a parallelogram work?

• It's similar to the area formula for rectangles

• Due to its 90-degree angles

• Because it can be transformed into a triangle

• Because it has four sides

In the first example, what are the base and height measurements?

• Base = 5 feet, Height = 2 feet

• Base = 2 feet, Height = 5 feet

• Base = 2 meters, Height = 5 meters

• Base = 5 meters, Height = 2 meters

What is the area of the parallelogram in the first example?

• 7 square feet

• 10 square feet

• 20 square feet

• 15 square feet

For the second example, what is the correct calculation of the area?

• Area = 10 x 7

• Area = 7 x 10

• Area = 10 + 7

• Area = (10 x 7) / 2

What is the area result for the second example?

• 70 square inches

• 17 square inches

• 100 square inches

• 35 square inches

In the third example, what are the base and height?

• Base = 7, Height = 2

• Base = 14, Height = 14

• Base = 2, Height = 14

• Base = 14, Height = 2

What is the area of the parallelogram in the fourth example?

• 45 square centimeters

• 15 square centimeters

• 54 square centimeters

• 60 square centimeters

How does the concept of moving a portion of the parallelogram validate the area formula?

• It creates a larger parallelogram

• It turns the shape into a circle

• It divides the parallelogram into two triangles

• It transforms the parallelogram into a rectangle

Why is the height measurement crucial in calculating the area of a parallelogram?

• It determines the shape's perimeter

• It's used to calculate the volume

• It's essential for determining the shape's area

• It helps in identifying the shape as a parallelogram