Area of Trapezoids

Front

What is a trapezoid?

Back

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

Front

How do you calculate the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (Base1 + Base2) × Height / 2.

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 a trapezoid has bases of 6 inches and 8 inches, and a height of 5 inches, what is its area?

Back

Area = (6 + 8) × 5 / 2 = 35 square inches.

Front

What is the area of a trapezoid with bases of 2.5 cm and 3.5 cm, and a height of 4.5 cm?

Back

Area = (2.5 + 3.5) × 4.5 / 2 = 13.5 cm squared.

Front

What is the significance of the height in calculating the area of a trapezoid?

Back

The height is crucial as it determines the vertical distance between the bases, affecting the overall area.

Front

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

Back

Yes, a trapezoid can have equal-length non-parallel sides, which makes it an isosceles trapezoid.

Front

What is an isosceles trapezoid?

Back

An isosceles trapezoid is a trapezoid where the non-parallel sides are equal in length.

Front

If the area of a trapezoid is 36 square meters and the bases are 6 meters and 12 meters, what is the height?

Back

Height = (Area × 2) / (Base1 + Base2) = (36 × 2) / (6 + 12) = 8 meters.