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 (A) of a trapezoid can be calculated using the formula: A = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the two bases and h is the height.

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 total length of the bases of a trapezoid?

Back

To find the total length of the bases, simply add the lengths of the two bases together.

Front

If one base of a trapezoid is 8 cm and the other is 6 cm, what is the total length of the bases?

Back

The total length of the bases is 8 cm + 6 cm = 14 cm.

Front

What is the area of a trapezoid with bases of 10 m and 6 m, and a height of 4 m?

Back

Using the formula A = (1/2) * (10 + 6) * 4, the area is A = 32 m².

Front

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

Back

The height is crucial because it determines how far apart the bases are, affecting the overall area.

Front

What units are used to measure the area of a trapezoid?

Back

Area is measured in square units, such as square meters (m²), square centimeters (cm²), etc.

Front

If a trapezoid has an area of 50 m² and a height of 5 m, how can you find the total length of the bases?

Back

Rearranging the area formula A = (1/2) * (b1 + b2) * h gives b1 + b2 = (2A) / h. So, b1 + b2 = (2 * 50) / 5 = 20 m.