Understanding the Area of an L-Shaped Polygon

The video tutorial explains how to calculate the area of an L-shaped polygon by dividing it into two rectangles. It begins by identifying missing side lengths using subtraction and then demonstrates how to divide the polygon into two rectangles. The area of each rectangle is calculated using the formula length times width, and the total area is found by summing these two areas. The tutorial provides a step-by-step approach to solving the problem, ensuring a clear understanding of the process.

What is the primary method used to find the area of the L-shaped polygon?

• Using the area formula for a circle

• Using the area formula for a rectangle

• Using the area formula for a triangle

• Using the area formula for a trapezoid

How do we determine the length of the missing side that is part of the 14cm side?

• By dividing 14cm by 9cm

• By multiplying 9cm by 14cm

• By subtracting 9cm from 14cm

• By adding 9cm to 14cm

What is the length of the missing side that is part of the 18cm side?

• 9cm

• 5cm

• 4cm

• 14cm

Why is it important to find the missing side lengths before calculating the area?

• To accurately divide the polygon into two rectangles

• To ensure the polygon is a rectangle

• To find the volume of the polygon

• To determine the perimeter of the polygon

How can the L-shaped polygon be divided to simplify the area calculation?

• Into two triangles

• Into two rectangles

• Into two circles

• Into two squares

What is the significance of choosing a divider line in the L-shaped polygon?

• It changes the total area

• It determines the shape of the polygon

• It helps in calculating the perimeter

• It simplifies the area calculation

What is the area of the first rectangle with a length of 14cm and a width of 4cm?

• 54 square centimeters

• 50 square centimeters

• 60 square centimeters

• 56 square centimeters

What is the area of the second rectangle with a length of 9cm and a width of 14cm?

• 120 square centimeters

• 126 square centimeters

• 130 square centimeters

• 136 square centimeters

What is the total area of the L-shaped polygon?

• 182 square centimeters

• 180 square centimeters

• 184 square centimeters

• 186 square centimeters

What is the final step in calculating the total area of the L-shaped polygon?

• Adding the areas of the rectangles

• Dividing the areas of the rectangles

• Multiplying the areas of the rectangles

• Subtracting the areas of the rectangles