Area of Trapezoids

Front

What is a trapezoid?

Back

A trapezoid is a four-sided polygon (quadrilateral) with at least one pair of parallel sides.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is calculated using the formula: Area = (1/2) * (Base1 + Base2) * Height.

Front

If a trapezoid has bases of 5 ft and 7 ft, and a height of 3 ft, what is its area?

Back

Area = (1/2) * (5 + 7) * 3 = 18 ft².

Front

What are the bases of a trapezoid?

Back

The bases of a trapezoid are the two parallel sides.

Front

What is the height of a trapezoid?

Back

The height of a trapezoid is the perpendicular distance between the two bases.

Front

If the area of a trapezoid is 26 ft² and the bases are 4 ft and 8 ft, what is the height?

Back

Height = (Area * 2) / (Base1 + Base2) = (26 * 2) / (4 + 8) = 4.33 ft.

Front

What is the area of a trapezoid with bases of 10 m and 14 m, and a height of 5 m?

Back

Area = (1/2) * (10 + 14) * 5 = 60 m².

Front

How do you identify a trapezoid?

Back

A trapezoid can be identified by having one pair of parallel sides.

Front

What is the difference between a trapezoid and a parallelogram?

Back

A trapezoid has only one pair of parallel sides, while a parallelogram has two pairs of parallel sides.

Front

If a trapezoid has an area of 50 cm² and bases of 6 cm and 4 cm, what is the height?

Back

Height = (Area * 2) / (Base1 + Base2) = (50 * 2) / (6 + 4) = 10 cm.