Area and Properties of Parallelograms

This video tutorial covers the calculation of areas of parallelograms, comparing areas, finding missing dimensions, and applying these concepts to real-world scenarios like building faces. It also includes identifying corresponding heights and calculating the area of shaded regions within rectangles.

Which three parallelograms have the same area?

• Figures A, B, and C

• Figures B, C, and D

• Figures A, B, and D

• Figures A, C, and D

What is the area of a parallelogram with dimensions 3 by 5?

• 18 square units

• 10 square units

• 12 square units

• 15 square units

Which pair of base and height results in the largest area?

• Base 3, Height 5

• Base 4, Height 5

• Base 4, Height 4

• Base 5, Height 3

What is the area of figure B with base times height equals 16 square centimeters?

• 16 square centimeters

• 15 square centimeters

• 17 square centimeters

• 14 square centimeters

If a parallelogram has an area of 21 square units and a height of 7, what is the base?

• 2 units

• 3 units

• 4 units

• 5 units

What is the missing base for a parallelogram with an area of 25 square units and a height of 5?

• 3 units

• 4 units

• 5 units

• 6 units

What is the area of the Dockland building's face if its length is 86 meters and height is 55 meters?

• 4730 square meters

• 4800 square meters

• 4900 square meters

• 5000 square meters

Which line segments represent the height if side m is the base?

• Segments E, F, J, K

• Segments D, E, F

• Segments G, H, I

• Segments A, B, C

What is the area of the shaded region if the large rectangle's area is 140 square centimeters?

• 80 square centimeters

• 70 square centimeters

• 90 square centimeters

• 60 square centimeters

How do you calculate the area of the shaded region within a larger rectangle?

• Add the areas of the triangles

• Subtract the areas of the triangles from the rectangle

• Multiply the areas of the triangles

• Divide the area of the rectangle by the number of triangles