Exploring Perimeter and Area Challenges

The video tutorial covers three main problems: calculating the perimeter of a star using the perimeters of outer triangles and an inner pentagon, finding the area of a trapezoid by dividing it into a rectangle and a triangle, and determining the perimeter of a complex shape by shifting its sides. Each problem is broken down step-by-step, demonstrating the use of geometric properties and calculations to solve them.

What is the perimeter of the star?

• 200

• 50

• 150

• 100

How many outer triangles are used to calculate the star's perimeter?

• 5

• 6

• 3

• 4

What is the perimeter of the inner pentagon?

• 60

• 30

• 100

• 50

How do you calculate the area of the trapezoid?

• By using the Pythagorean theorem

• By multiplying the base with height

• By dividing it into two triangles

• By adding the area of a rectangle and a triangle

What is the length of DE if AB is 6 and the total base length is 9?

• 6

• 9

• 12

• 3

What is the area of the trapezoid?

• 100

• 52.5

• 42

• 10.5

How is the perimeter of the complex shape calculated?

• By calculating the area first

• By rearranging its sides to form a rectangle

• By adding all the given sides

• By using the Pythagorean theorem

What is the total perimeter of the complex shape?

• 30

• 20

• 40

• 50

What assumption is made about the angles in the complex shape?

• No specific assumption about angles

• All angles are obtuse

• All angles are acute

• All angles are right angles

What technique is used to simplify the calculation of the complex shape's perimeter?

• Subtracting the smallest side

• Doubling the longest side

• Shifting sides

• Multiplying all sides by two