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 parallel sides (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

How do you find the height of a trapezoid?

Back

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

Front

If the bases of a trapezoid are 10 inches and 6 inches, and the height is 5 inches, what is the area?

Back

The area is A = (1/2) * (10 + 6) * 5 = 40 square inches.

Front

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

Back

The height is crucial because it determines the vertical distance between the bases, which affects the overall area.

Front

Can a trapezoid have equal non-parallel sides?

Back

Yes, a trapezoid can have equal non-parallel sides, in which case it is called an isosceles trapezoid.

Front

What is an isosceles trapezoid?

Back

An isosceles trapezoid is a trapezoid in which the non-parallel sides are equal in length.

Front

How does the area of a trapezoid compare to that of a rectangle?

Back

The area of a trapezoid can be less than, equal to, or greater than that of a rectangle, depending on the lengths of the bases and height.

Front

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

Back

The area of a trapezoid is measured in square units, such as square inches (in²), square feet (ft²), etc.