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 10 m and 6 m, and a height of 4 m, what is its area?

Back

Area = (1/2) * (10 + 6) * 4 = 32 m².

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

How do you find the height of a trapezoid if you know the area and the lengths of the bases?

Back

Rearrange the area formula: Height = (Area * 2) / (Base1 + Base2).

Front

What is the area of a trapezoid with bases of 8 m and 4 m, and a height of 3 m?

Back

Area = (1/2) * (8 + 4) * 3 = 18 m².

Front

Can a trapezoid have equal-length non-parallel sides?

Back

Yes, a trapezoid can have equal-length non-parallel sides, and it is called an isosceles trapezoid.

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 the area of a trapezoid is 45 m² and the bases are 12 m and 6 m, what is the height?

Back

Height = (Area * 2) / (Base1 + Base2) = (45 * 2) / (12 + 6) = 5 m.