Understanding the Perimeter of a Parallelogram

The video tutorial explains how to find the perimeter of a parallelogram using two methods: adding all four sides or using the formula 2(length + width). It also covers a more complex scenario involving a 30-60-90 triangle to find a missing side when given an altitude and an angle, demonstrating how to apply these rules to calculate the perimeter.

What are the two methods mentioned for finding the perimeter of a parallelogram?

• Using the area formula and adding diagonals

• Adding all four sides and using 2(length + width)

• Subtracting the width from the length and doubling

• Using the Pythagorean theorem and adding angles

What is the formula for the perimeter of a parallelogram using lengths and widths?

• length × width

• length - width

• length + width

• 2(length + width)

In the example with side lengths 3 and 10, what is the perimeter of the parallelogram?

• 36 units

• 30 units

• 26 units

• 20 units

What additional information is needed to solve the more complex parallelogram problem?

• The area of the parallelogram

• The measure of an angle

• The length of the diagonal

• The perimeter of the parallelogram

What is the significance of the altitude in the complex problem?

• It is not used in the calculation

• It is equal to the hypotenuse

• It forms a right triangle with the base

• It is equal to the base

Which triangle rule is used to find the missing side of the parallelogram?

• Pythagorean theorem

• 30-60-90 triangle rule

• Equilateral triangle rule

• 45-45-90 triangle rule

What is the length of the hypotenuse in the 30-60-90 triangle used in the problem?

• 6√3

• 8√3

• 4√3

• 2√3

In the example, what is the length of the short leg in the 30-60-90 triangle?

• 3√3

• 3

• 2√3

• 2

What is the final perimeter of the parallelogram in the complex problem?

• 20 + 4√3 units

• 16 + 8√3 units

• 16 + 4√3 units

• 20 + 8√3 units

Why can't constants and radicals be added together in the final answer?

• They are different types of numbers

• They are both irrational numbers

• They are both rational numbers

• They are both integers