Area of parallelograms

Front

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

Back

Area = base × height

Front

In the context of a parallelogram, what does 'height' refer to?

Back

Height is the perpendicular distance from the base to the opposite side.

Front

If the base of a parallelogram is 10 cm and the height is 5 cm, what is the area?

Back

Area = 10 cm × 5 cm = 50 cm².

Front

What units are used to measure the area of a parallelogram?

Back

Square units (e.g., cm², m², in²).

Front

How does changing the height of a parallelogram affect its area?

Back

Increasing the height increases the area, while decreasing the height decreases the area, assuming the base remains constant.

Front

If a parallelogram has an area of 30 square units and a base of 6 units, what is the height?

Back

Height = Area / base = 30 square units / 6 units = 5 units.

Front

What is the relationship between the base and height in a parallelogram?

Back

The area is directly proportional to both the base and height.

Front

Can a parallelogram have the same area with different base and height values?

Back

Yes, different combinations of base and height can yield the same area.

Front

What is the significance of the base in the area calculation of a parallelogram?

Back

The base is one side of the parallelogram used in conjunction with the height to calculate the area.

Front

If the area of a parallelogram is given as 56 square inches and the height is 4 inches, what is the base?

Back

Base = Area / height = 56 square inches / 4 inches = 14 inches.