Area of Trapezoids

Front

What is a trapezoid?

Back

A trapezoid is a four-sided figure (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 cm and 14 cm, and a height of 5 cm, what is its area?

Back

Area = (1/2) * (10 + 14) * 5 = 60 cm².

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

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

Back

Area = (1/2) * (8 + 12) * 4 = 40 m².

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 area calculation.

Front

If the height of a trapezoid is doubled, what happens to the area?

Back

If the height is doubled, the area of the trapezoid also doubles.

Front

Find the area of a trapezoid with bases of 5 ft and 15 ft, and a height of 3 ft.

Back

Area = (1/2) * (5 + 15) * 3 = 30 ft².

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.