Exploring Area Calculations for Parallelograms and Triangles

What is the definition of area?

• The length of the boundary of a geometric figure

• The amount of square units a geometric figure encloses

• The volume of a geometric figure

• The perimeter of a geometric figure

Why is it easier to calculate the area of a rectangle compared to a parallelogram?

• Because rectangles have equal sides

• Because rectangles have 90-degree angles

• Because rectangles have more sides

• Because rectangles are always larger

How do you calculate the area of a rectangle?

• Base / Height

• Base - Height

• Base + Height

• Base * Height

What is the area of a square with side length 3 feet?

• 6 square feet

• 9 square feet

• 15 square feet

• 12 square feet

How can a parallelogram be converted to a rectangle for area calculation?

• By changing its height

• By adding more sides

• By cutting and shifting a part of it

• By doubling its base

What additional information is needed to calculate the area of a parallelogram?

• The height

• The volume

• The perimeter

• The length of the diagonal

What is the area of a rhombus with a base of 10 cm and height of 8 cm?

• 90 cm squared

• 70 cm squared

• 60 cm squared

• 80 cm squared

Which theorem is used to find the height of a rhombus when two sides are known?

• Fermat's theorem

• Pythagorean theorem

• Euclidean theorem

• Thales' theorem

How is the area of a triangle related to the area of a rectangle?

• It is one-third the area of a rectangle

• It is the same as the area of a rectangle

• It is half the area of a rectangle

• It is double the area of a rectangle

What is the area of a triangle with a base of 3 units and height of 4 units?

• 6 square units

• 4 square units

• 3 square units

• 12 square units