Exploring the Area 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 calculating the area of a building. It also includes identifying corresponding heights and calculating the area of a shaded region within a rectangle.

Which figures have identical areas?

• A, B, and C

• All figures

• A, B, and D

• B, C, and D

What is the area of figures A, B, and D?

• 15 square units

• 14 square units

• 13.5 square units

• 16 square units

Which figure has the largest area?

• Figure C

• Figure D

• Figure B

• Figure A

What is the missing height for Figure A if the area is 10 square units?

• 5 units

• 4 units

• 3 units

• 2 units

Calculate the missing base for Figure B with an area of 21 square units.

• 5 units

• 7 units

• 3 units

• 9 units

What is the area of the Dockland building's face?

• 4570 square meters

• 4730 square meters

• 4600 square meters

• 4830 square meters

Which line segments can represent a corresponding height if side M is the base?

• E, F, G, H

• F, G, H, I

• E, G, J, K

• E, F, J, K

What is the total area of the large rectangle in the complex area calculation?

• 140 square centimeters

• 150 square centimeters

• 130 square centimeters

• 120 square centimeters

What is the combined area of the two small triangles in the complex area calculation?

• 24 square centimeters

• 16 square centimeters

• 18 square centimeters

• 12 square centimeters

What is the area of the shaded region after subtracting the non-shaded triangles?

• 80 square centimeters

• 60 square centimeters

• 90 square centimeters

• 70 square centimeters