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

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.

Tags

CCSS.6.G.A.1

Front

What do we mean by 'height' in a trapezoid?

Back

The height of a trapezoid is the perpendicular distance between the two parallel sides.

Front

If the bases of a trapezoid are 10 cm and 6 cm, and the height is 4 cm, what is the area?

Back

Area = (1/2) * (10 cm + 6 cm) * 4 cm = 32 cm².

Tags

CCSS.6.G.A.1

Front

What is the significance of the bases in a trapezoid?

Back

The bases are the two parallel sides of the trapezoid, and their lengths are used in calculating the area.

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: Height = (Area * 2) / (Base1 + Base2).

Tags

CCSS.6.G.A.1

Front

What is a right trapezoid?

Back

A right trapezoid is a trapezoid that has two right angles.

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 a trapezoid has an area of 50 m² and one base is 10 m, what is the height if the other base is 6 m?

Back

Height = (Area * 2) / (Base1 + Base2) = (50 m² * 2) / (10 m + 6 m) = 6.25 m.

Tags

CCSS.6.G.A.1

Front

What is the perimeter of a trapezoid?

Back

The perimeter of a trapezoid is the sum of the lengths of all four sides.

Tags

CCSS.3.MD.D.8