Area Calculation of Polygons

This video tutorial covers the calculation of polygon areas by dividing them into simpler shapes like rectangles and triangles. It explores alternative methods such as extending polygons into squares and finding missing pieces. The tutorial also applies these techniques to real-world problems, including calculating costs for materials based on area. The video concludes with practice problems to reinforce learning.

What is the first step in finding the area of a polygon using smaller shapes?

• Use only triangles

• Calculate the perimeter first

• Divide the polygon into known shapes

• Draw vertical line segments

What is the purpose of dividing a polygon into smaller shapes?

• To make it look more complex

• To simplify the calculation of the area

• To increase the perimeter

• To change the shape of the polygon

Why is it important to understand the measurements of different shapes when dividing a polygon?

• To increase the number of shapes

• To ensure accurate area calculation

• To make the polygon symmetrical

• To reduce the number of shapes

When extending a polygon to form a square, what is the next step after calculating the square's area?

• Subtract the area of the missing piece

• Add the area of the square to the polygon

• Multiply the area by two

• Divide the area by the number of sides

What is the result of subtracting the area of the missing piece from the square in the alternative method?

• The perimeter of the polygon

• The height of the polygon

• The area of the original polygon

• The volume of the polygon

How can you find the area of a polygon by dividing it into rectangles?

• By calculating the area of each rectangle and adding them

• By using only the height of the polygon

• By using the perimeter of the polygon

• By multiplying the length and width of the polygon

In the garden example, how do you determine the number of bags of mulch needed?

• Add the area covered by one bag to the total area

• Divide the total area by the area covered by one bag

• Multiply the total area by the area covered by one bag

• Subtract the area covered by one bag from the total area

In the garden example, what is the total area of the garden?

• 240 square feet

• 351 square feet

• 135 square feet

• 216 square feet

What is the formula for the area of a trapezoid used in the hotel lobby example?

• Base times height

• 1/2 times height times (base1 + base2)

• Length times width

• Side times side

How much will it cost to carpet the hotel lobby if the carpet costs $3 per square foot?

• $567

• $2,400

• $3,348

• $1,116