Calculating the Area of a Trapezoid

What defines a trapezoid in geometry?

• A shape with four right angles

• A quadrilateral with one pair of parallel sides

• A polygon with equal sides

• A triangle with extended sides

How do you calculate the area of a trapezoid?

• Base times height divided by 2

• Base times height

• Length of base 1 plus length of base 2 times the height, divided by 2

• Sum of all sides divided by the number of sides

What are the parallel sides of a trapezoid called?

• Legs

• Bases

• Heights

• Diagonals

In the example, if base 1 is 4 inches and base 2 is 8 inches with a height of 6 inches, what is the area?

• 36 square inches

• 72 square inches

• 48 square inches

• 24 square inches

What role do the non-parallel sides of a trapezoid play in calculating its area?

• They are used to calculate the perimeter

• They are irrelevant to the area calculation

• They are used to calculate the height

• They determine the length of the bases

Why is the area formula for a trapezoid similar to that of a triangle?

• Both shapes have four sides

• Both can be divided into smaller triangles

• Both have two parallel sides

• Both formulas involve multiplication by height

How can a trapezoid be divided to simplify the calculation of its area?

• Cannot be divided into simpler shapes

• Into four triangles

• Into two triangles

• Into three triangles

What is the area of a trapezoid with bases of 8 meters and 12 meters, and height of 9 meters?

• 90 square meters

• 100 square meters

• 180 square meters

• 45 square meters

If a trapezoid is split from top right to bottom left, what geometric shapes are formed?

• Two circles

• Two rectangles

• Two trapezoids

• Two triangles

How does the area formula for a trapezoid relate to its division into triangles?

• The formula is only applicable if the trapezoid cannot be divided

• The formula is derived by adding the areas of the triangles

• The formula is simpler than calculating the areas of the triangles separately

• The formula is unrelated to the triangles