Exploring Area and Perimeter of Parallelograms

Mrs. Mfil explains the concepts of area and perimeter for parallelograms. She demonstrates how the area formula (base times height) applies by transforming a parallelogram into a rectangle. Two examples are provided: one with internal height and another with external height, emphasizing the importance of not including the height in perimeter calculations. The video clarifies common misconceptions and reinforces the understanding of geometric properties.

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

• Area = (Base + Height) / 2

• Area = Base x Height

• Area = Base - Height

• Area = Base + Height

Why can we use the rectangle area formula for parallelograms?

• Because parallelograms have four sides

• Because parallelograms can be transformed into rectangles

• Because parallelograms always have right angles

• Because parallelograms have equal opposite sides

If a parallelogram has a base of 10 cm and a height of 4 cm, what is its area?

• 20 cm squared

• 14 cm squared

• 40 cm squared

• 6 cm squared

How do we find the right angle in a parallelogram to calculate its area?

• By drawing a diagonal

• By measuring the angle directly

• By drawing a perpendicular line from a vertex to the base

• By extending a side

What is the perimeter of a parallelogram with sides 10 cm and 5 cm?

• 25 cm

• 30 cm

• 15 cm

• 20 cm

Why is the height not included in the calculation of a parallelogram's perimeter?

• Because it is considered an internal measurement

• Because it is not a side of the parallelogram

• Because it does not affect the perimeter

• Because it is always equal to the base

If a parallelogram's base is 15 feet and its height is 7 feet, what is its area?

• 210 feet squared

• 22 feet squared

• 30 feet squared

• 105 feet squared

Why can the base of a parallelogram not include extended line segments?

• Because they alter the shape

• Because they are not part of the original parallelogram

• Because they represent the height

• Because they would change the area calculation

What is the perimeter of a parallelogram with sides 15 feet and 8 feet?

• 60 feet

• 23 feet

• 46 feet

• 30 feet

What should you do if the height of a parallelogram is drawn outside the shape?

• Include it in the perimeter calculation

• Ignore the height

• Only use it for the area calculation

• Consider it as an extension of the base