Exploring Area Calculations of Parallelograms, Triangles, and Trapezoids

This video tutorial covers the calculation of areas for parallelograms, triangles, and trapezoids. It begins with an introduction to key vocabulary such as base, altitude, and height. The area of a parallelogram is calculated using the formula base times height. For triangles, the area is found using one-half times the base times the height. The trapezoid's area formula involves one-half times the height times the sum of the two bases. Each section includes examples to illustrate the application of these formulas.

What is the formula for the area of a parallelogram?

• Base plus Height

• Base times Height

• One-half Base times Height

• Base divided by Height

What does the base of a parallelogram refer to?

• The longest side of the parallelogram

• Any side of the parallelogram

• The side perpendicular to the height

• Only the horizontal side of the parallelogram

What is the altitude in the context of a parallelogram?

• The slant height

• The diagonal of the parallelogram

• The perpendicular line from the base to the opposite side

• The length of the base

If a parallelogram has a base of 8 inches and a height of 4.7 inches, what is its area?

• 40.1 square inches

• 34.2 square inches

• 12.8 square inches

• 37.6 square inches

How can the area of a triangle be calculated?

• Base plus Height

• One-half Base times Height

• Base divided by Height

• Base times Height

For a triangle with a base of 12 meters and height of 6 meters, what is the area?

• 72 square meters

• 24 square meters

• 18 square meters

• 36 square meters

In a triangle, if the base is 12 meters and the area is 36 square meters, what is the height?

• 6 meters

• 3 meters

• 12 meters

• 9 meters

What is the area formula for a trapezoid?

• One-fourth Height times the sum of the two bases

• Height times the sum of the two bases

• One-half Height times the sum of the two bases

• Height divided by the sum of the two bases

If a trapezoid has bases of 6 meters and 15 meters, and a height of 8.3 meters, what is its area?

• 174.3 square meters

• 69.45 square meters

• 104.58 square meters

• 87.15 square meters

For a trapezoid, what do the terms B1 and B2 represent?

• The parallel sides

• The non-parallel sides

• The diagonals

• The heights