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

How do you calculate the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (1/2) * (Base1 + Base2) * 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

If the bases of a trapezoid are 5 m and 7 m, and the height is 4 m, what is the area?

Back

Area = (1/2) * (5 m + 7 m) * 4 m = 24 m².

Front

What is the total length of the bases in a trapezoid with bases of 6 in and 8 in?

Back

Total length of the bases = 6 in + 8 in = 14 in.

Front

What is the formula for finding the average of the bases in a trapezoid?

Back

Average of the bases = (Base1 + Base2) / 2.

Front

If a trapezoid has an area of 30 ft² and the bases are 5 ft and 10 ft, what is the height?

Back

Height = (Area * 2) / (Base1 + Base2) = (30 ft² * 2) / (5 ft + 10 ft) = 4 ft.

Front

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

Back

The height is crucial as it determines how 'tall' the trapezoid is, affecting the overall area.

Front

Can a trapezoid have equal-length non-parallel sides?

Back

Yes, a trapezoid can have equal-length non-parallel sides, making it an isosceles trapezoid.