Finding the Area of a Trapezoid

This video tutorial covers the concept of trapezoids, explaining their properties and how to calculate their area. It introduces the use of subscripts in mathematical notation to differentiate variables. The formula for the area of a trapezoid is derived and applied in example problems, including calculating the area of a trapezoidal garden. The commutative property of multiplication is discussed in the context of area calculations. The tutorial concludes with a problem-solving exercise to find the area of a trapezoid without a diagram.

What defines a trapezoid in geometry?

• A quadrilateral with all sides equal

• A quadrilateral with one pair of parallel sides

• A shape with no parallel sides

• A shape with four right angles

What geometric shape do two combined trapezoids form?

• Rectangle

• Triangle

• Parallelogram

• Circle

What is the purpose of subscripts in mathematical variables?

• To show addition

• To denote exponents

• To differentiate between similar variables

• To indicate division

What does the subscript '2' in 'b2' typically indicate in the context of trapezoids?

• It indicates the trapezoid has two layers

• It is the second height of the trapezoid

• It is the length of the second base

• It is the second angle of the trapezoid

How is the area of a trapezoid calculated?

• Sum of bases divided by height

• Height divided by the sum of the bases

• Base multiplied by height

• Half the height multiplied by the sum of the bases

In the garden example, what is the length of base one (b1)?

• 25 feet

• 15 feet

• 20 feet

• 10 feet

What is the total area of the garden shaped as a trapezoid?

• 300 square feet

• 100 square feet

• 400 square feet

• 200 square feet

What property of multiplication is illustrated by changing the order of factors in the area calculation?

• Commutative property

• Distributive property

• Additive property

• Associative property

If the height of a trapezoid is 8 cm and the bases are 14 cm and 20 cm, what is the area?

• 148 cm²

• 136 cm²

• 152 cm²

• 160 cm²

What is the next geometric shape to be discussed after trapezoids in the lesson?

• Circle

• Triangle

• Rectangle

• Rhombus