Area of Parallelograms, Triangles, and Trapezoids

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: A = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the two parallel sides and h is the height.

Front

How do you calculate the area of a triangle?

Back

The area of a triangle is calculated using the formula: A = (1/2) * base * height.

Front

What is the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: A = base * height.

Front

What is the difference between the area of a triangle and a parallelogram with the same base and height?

Back

The area of a triangle is half that of a parallelogram with the same base and height.

Front

What units are used to measure area?

Back

Area is measured in square units, such as square meters (m²), square feet (ft²), or square units (un²).

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: A = length * width.

Front

How do you find the height of a trapezoid if you know the area and the lengths of the bases?

Back

Rearranging the trapezoid area formula, height can be found using: h = (2A) / (b1 + b2).

Front

What is the significance of the height in area calculations?

Back

The height is the perpendicular distance from the base to the top of the shape, and it is crucial for accurately calculating area.

Front

Can the area of a triangle be calculated using Heron's formula?

Back

Yes, Heron's formula can be used to calculate the area of a triangle when the lengths of all three sides are known: A = √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter.

Front

What is a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.