Area of a Trapezoid

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 two bases and h is the height.

Front

If a trapezoid has bases of 10 m and 14 m, and a height of 5 m, what is its area?

Back

A = (10 + 14) * 5 / 2 = 60 m².

Front

What do the letters b1 and b2 represent in the trapezoid area formula?

Back

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

Front

What is the height of a trapezoid?

Back

The height is the perpendicular distance between the two bases.

Front

Calculate the area of a trapezoid with bases of 8 cm and 12 cm, and a height of 4 cm.

Back

A = (8 + 12) * 4 / 2 = 40 cm².

Front

What is a trapezoid?

Back

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

Front

If the area of a trapezoid is 30 m² and the bases are 6 m and 10 m, what is the height?

Back

Using A = (b1 + b2)h / 2, we can rearrange to find h: h = 2A / (b1 + b2) = 2*30 / (6 + 10) = 3.75 m.

Front

What is the relationship between the bases and the area of a trapezoid?

Back

The area increases as the lengths of the bases increase.

Front

Find the area of a trapezoid with bases of 5 ft and 9 ft, and a height of 3 ft.

Back

A = (5 + 9) * 3 / 2 = 21 ft².

Front

What happens to the area of a trapezoid if the height is doubled?

Back

The area of the trapezoid will also double.