Understanding the Area of a Pentagon

The video tutorial explains how to find the area of a pentagon by constructing a rectangle around it and subtracting the areas of the triangles and trapezoid outside the pentagon. The process involves calculating the dimensions of the rectangle and using the properties of right triangles and trapezoids to find their areas. The final area of the pentagon is determined by subtracting the sum of these areas from the area of the rectangle.

What is the shape formed by connecting points A, B, C, D, and E?

• Triangle

• Pentagon

• Hexagon

• Square

What is the initial strategy considered for finding the area of the pentagon?

• Using a trapezoid formula

• Breaking it into triangles

• Using the formula for a circle

• Calculating directly from coordinates

What is the alternative strategy proposed for finding the area of the pentagon?

• Directly measuring the sides

• Constructing a circle around the pentagon

• Using a hexagon formula

• Constructing a rectangle around the pentagon

How many right triangles are identified outside the pentagon?

• Five

• Four

• Three

• Two

What is the length of the side of the large square constructed around the pentagon?

• 12 units

• 11 units

• 10 units

• 9 units

What is the formula used to calculate the area of the pentagon?

• Area of pentagon plus area of triangles

• Area of square minus sum of areas of triangles and trapezoid

• Area of trapezoid minus area of triangles

• Area of square minus area of pentagon

What is the area of the large square constructed around the pentagon?

• 100 square units

• 130 square units

• 110 square units

• 121 square units

What is the final calculated area of the pentagon?

• 61 square units

• 71 square units

• 81 square units

• 91 square units

Which shape is NOT part of the extra area outside the pentagon?

• Right triangle

• Trapezoid

• Circle

• Rectangle

What is the sum of the areas of the extra shapes outside the pentagon?

• 60 square units

• 50 square units

• 40 square units

• 70 square units