Area of a trapezoid

Front

What is a trapezoid?

Back

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

Front

What is the formula for the area of a trapezoid?

Back

A = (b1 + b2)h / 2, where b1 and b2 are the lengths of the parallel sides and h is the height.

Front

If b1 = 5 cm, b2 = 7 cm, and h = 4 cm, what is the area of the trapezoid?

Back

A = (5 + 7) * 4 / 2 = 24 cm².

Front

What does 'b1' and 'b2' represent in the trapezoid area formula?

Back

b1 and b2 represent the lengths of the two parallel sides of the trapezoid.

Front

What is the height (h) in a trapezoid?

Back

The height (h) is the perpendicular distance between the two parallel sides.

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: h = (2A) / (b1 + b2).

Front

What is the area of a trapezoid with bases of 10 m and 6 m, and a height of 5 m?

Back

A = (10 + 6) * 5 / 2 = 40 m².

Front

Can a trapezoid have equal non-parallel sides?

Back

Yes, a trapezoid can have equal non-parallel sides, which makes it 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 50 cm² and the bases are 8 cm and 12 cm, what is the height?

Back

h = (2 * 50) / (8 + 12) = 5 cm.