Composite Figures and Trapezoids

This video tutorial for sixth graders covers lesson 7.3, focusing on finding the area of trapezoids and composite figures. It explains the properties of trapezoids, including their unique parallel sides, and provides a detailed walkthrough of the area calculation formula. The lesson also explores composite figures, demonstrating how to calculate their area by breaking them down into simpler shapes. The tutorial concludes with a final example to reinforce the concepts learned.

What is a unique property of a trapezoid?

• It has exactly one pair of parallel sides.

• It has no parallel sides.

• It is a type of triangle.

• It has two pairs of parallel sides.

Which formula is used to calculate the area of a trapezoid?

• Base times height

• Length times width

• One half the height multiplied by the sum of the bases

• Base one plus base two

In the formula for the area of a trapezoid, what do base one and base two represent?

• The diagonal of the trapezoid

• The height of the trapezoid

• The two parallel sides

• The two non-parallel sides

If a trapezoid has a height of 12 and bases of 7 and 6, what is its area?

• 72 square inches

• 84 square inches

• 78 square inches

• 56 square inches

What is a composite figure?

• A figure with only one shape

• A figure made up of multiple shapes

• A figure with no parallel sides

• A figure that is always a rectangle

How do you find the area of a composite figure?

• By finding the perimeter

• By subtracting the smallest area from the largest

• By adding the areas of the individual shapes

• By multiplying the lengths of all sides

In a composite figure, if the top shape is a rectangle with dimensions 6 by 7, what is its area?

• 36 square feet

• 42 square feet

• 40 square feet

• 48 square feet

For a trapezoid with bases 10 and 6, and a height of 2, what is the area?

• 16 square feet

• 14 square feet

• 20 square feet

• 18 square feet

What is the total area of a composite figure with a rectangle area of 42 and a trapezoid area of 16?

• 58 square feet

• 60 square feet

• 56 square feet

• 62 square feet

If a composite figure consists of a rectangle and a trapezoid, how do you find its total area?

• Subtract the area of the trapezoid from the rectangle

• Multiply the areas of the rectangle and trapezoid

• Divide the area of the rectangle by the trapezoid

• Add the areas of the rectangle and trapezoid