Area and Properties of Parallelograms and Trapezoids

This video tutorial explains how to calculate the area of three geometric shapes: parallelogram, trapezoid, and rhombus. It begins with the formula for the area of a parallelogram, which is base times height, and provides an example calculation. Next, it covers the trapezoid area formula, which involves adding the lengths of the two bases, multiplying by the height, and dividing by two, followed by an example. Finally, the video demonstrates how to find the area of a rhombus using the lengths of its diagonals, with a step-by-step example.

What shapes are discussed in this video for area calculation?

• Parallelogram, Trapezoid, Rhombus

• Pentagon, Hexagon, Circle

• Rectangle, Hexagon, Octagon

• Circle, Square, Triangle

What is the formula for calculating the area of a parallelogram?

• Base + Height

• Base x Height

• Base / Height

• Base - Height

If the base of a parallelogram is 13 cm and the height is 9 cm, what is the area?

• 117 cm²

• 126 cm²

• 108 cm²

• 135 cm²

Which of the following is true about the base in a parallelogram?

• It must be the longest side

• It is always the shortest side

• It can be either the top or bottom length

• It is always the height

What is the significance of the height in the area calculation of a parallelogram?

• It is divided by the base

• It is multiplied by the base

• It is subtracted from the base

• It is added to the base

What is the formula for the area of a trapezoid?

• Base1 + Base2 + Height

• Base x Height

• Base1 x Base2 x Height

• (Base1 + Base2) x Height / 2

In the trapezoid area formula, what operation is performed after adding the bases?

• Subtract the height

• Multiply by the height

• Divide by the height

• Add the height

If base1 is 11 cm, base2 is 15 cm, and height is 6 cm, what is the area of the trapezoid?

• 72 cm²

• 78 cm²

• 84 cm²

• 96 cm²

Which of the following is NOT a step in calculating the area of a trapezoid?

• Add the two bases

• Multiply the sum by the height

• Subtract the height from the sum of the bases

• Divide the product by 2

What is the result of multiplying 26 by 6 in the trapezoid area example?

• 156

• 148

• 162

• 172