area of a trapezoid

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 can be calculated using the formula: Area = (1/2) × (Base1 + Base2) × Height.

Tags

CCSS.6.G.A.1

Front

What do you need to calculate the area of a trapezoid?

Back

To calculate the area of a trapezoid, you need the lengths of the two parallel sides (bases) and the height (the perpendicular distance between the bases).

Tags

CCSS.6.G.A.1

Front

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

Back

Area = (1/2) × (10 m + 6 m) × 4 m = 32 m².

Front

What is the height of a trapezoid?

Back

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

Front

How does changing the height affect the area of a trapezoid?

Back

Increasing the height of a trapezoid increases its area, while decreasing the height reduces the area.

Tags

CCSS.6.G.A.1

Front

What is a base in the context of a trapezoid?

Back

In a trapezoid, a base refers to one of the two parallel sides.

Front

If a trapezoid has an area of 50 cm² and one base is 10 cm, what is the height if the other base is 6 cm?

Back

Using the formula: Area = (1/2) × (Base1 + Base2) × Height, we can rearrange to find Height = (2 × Area) / (Base1 + Base2). So, Height = (2 × 50 cm²) / (10 cm + 6 cm) = 6.25 cm.

Tags

CCSS.6.G.A.1

Front

What is the significance of the bases in a trapezoid?

Back

The bases are significant because they determine the width of the trapezoid and are used in the area calculation.

Front

Can a trapezoid be a rectangle?

Back

Yes, a rectangle is a special type of trapezoid where both pairs of opposite sides are parallel.