Area of Parallelograms Challenge

To find the area of a parallelogram, we use the same formula as what shape?

• Rectangle

• Triangle

• Circle

• It's not the same as any other shape

Match the following!

• 105 sq cm

• Area of a parallelogram with a base of 14 cm and a height that is 6.5 cm shorter than that!

• 40.5 sq cm

• Area of a parallelogram that has a base that is 7.5 cm and a height that is 1.5 cm more than that!

• 67.5 sq cm

• Area of a parallelogram with a base of 7 cm and a height that is half that amount!

• 24.5 sq cm

• Area of a parallelogram with a base of 4.5 cm and a height that is twice that amount!

If each square unit is worth $4.85, what is the value of each parallelogram?

a

b

$135.80

$194.00

$138.50

$196.00

If each square unit is worth $3.25, what is the value of each parallelogram?

a

b

$143.00

$117.00

$138.00

$126.00

Carlito drew two parallelograms inside the box shown. The base and height of one of the parallelograms is shown. Can you calculate the amount of space in the box that is NOT shaded green?

Bradley has a parallelogram with an area of 60 square inches. One side of the parallelogram is 6 inches long and the other side is 12 inches long! What are the possible heights of the parallelogram shown below?

• 10 inches

• 5 inches

• 8 inches

• 20 inches

• 7 inches

Drag the correct area (sq units) to each shape!

c

d

e

18 sq units

16 sq units

22 sq units

12 sq units

20 sq units

15 sq units

Malcolm has a kite (cut in the shape of a parallelogram) with a base that is twice the length as the height. The height is 4.5 inches. The length of the other side of the kite is 5.5 inches. What is the area of the kite?

• 40.5 sq in

• 38.5 sq in

• 24.75 sq in

• 49.5 sq in

• 54.5 sq in

Sketch a parallelogram quickly! One side is 20 cm and one side is 24 cm. The area of the parallelogram is 40 sq cm. Which answers below could possibly show the height of the parallelogram?

• 2 cm

• 1 and 2/3 cm

• 4 cm

• 4/5 cm

• 1 and 1/2 cm

Click on any TRUE statements below!

• The parallelogram has a larger area than the triangle!

• The triangle is 2 square units smaller than the parallelogram!

• The triangle has a larger area than the parallelogram!

• The parallelogram is 4 square units larger than the triangle!

• The combined area of both shapes is greater than 75 square units!