Area and Height of Triangles and Trapezoids

The video tutorial covers solving area equations using geometry, focusing on triangles and trapezoids. It begins with an introduction to the topic, followed by solving various problems involving the area of triangles and trapezoids. The tutorial includes word problems and picture problems, emphasizing the use of formulas to find missing dimensions. The key concepts include understanding and applying area formulas for different shapes, solving for unknown variables, and checking solutions.

What is the essential question for solving area equations in this lesson?

• How to find the volume of 3D objects?

• How to measure angles in polygons?

• How to use equations to solve problems about area of various shapes?

• How to calculate the perimeter of shapes?

In the pennant flag problem, what is the formula used to find the area of a triangle?

• Base divided by height

• One-half base times height

• Base plus height

• Base times height

What is the missing height of the triangle in the pennant flag problem if the area is 2.25 square feet and the base is 1.5 feet?

• 2 feet

• 3 feet

• 4 feet

• 1.5 feet

In the triangle picture problem, what is the given area of the triangle?

• 128 square inches

• 32 square inches

• 64 square inches

• 256 square inches

What is the height of the triangle in the picture problem if the base is 4 inches and the area is 128 square inches?

• 32 inches

• 16 inches

• 64 inches

• 8 inches

In the quilt triangle problem, what is the height of each quilt piece?

• 4 inches

• 8 inches

• 10 inches

• 6 inches

What is the base of the right triangle in the quilt problem if the area is 24 square inches and the height is 6 inches?

• 6 inches

• 10 inches

• 4 inches

• 8 inches

What is the formula for the area of a trapezoid?

• Base plus height

• Height divided by base

• One-half height times the sum of the bases

• Base times height

In the trapezoid problem, what is the sum of the bases if base one is 4.3 and base two is 10.5?

• 14.8

• 15.8

• 13.8

• 12.8

What is the height of the trapezoid if the area is 44.4 square meters and the sum of the bases is 14.8?

• 8 meters

• 7 meters

• 6 meters

• 5 meters