Geometric Shapes and Area Calculations

This video tutorial covers the topic of composite figures, focusing on how to calculate their area. It begins with an introduction to composite figures, which are made up of various geometric shapes like triangles and rectangles. The tutorial then explains methods for calculating the area of these figures, using techniques such as counting squares and applying geometric formulas. It also provides formulas for different shapes, including triangles, rectangles, and trapezoids. The video concludes with examples and practice problems to reinforce the concepts taught.

What is a composite figure?

• A shape made up of only triangles

• A shape made up of only squares

• A shape made up of only circles

• A shape made up of various geometric shapes

How can you find the area of a composite figure?

• By measuring the angles

• By counting the number of vertices

• By measuring the perimeter

• By breaking it into recognizable shapes and calculating their areas

Which formula is used to calculate the area of a rectangle?

• Base times height

• Length times width

• Pi times radius squared

• Side squared

What is the formula for the area of a trapezoid?

• Base times height

• Length times width

• Half the sum of the bases times height

• Side squared

In the example of a banquet room, what is the first step to find the total cost of carpeting?

• Measure the height of the walls

• Count the number of windows

• Find the total area of the room

• Calculate the perimeter of the room

How do you calculate the area of a circle?

• Base times height

• Length times width

• Side squared

• Pi times radius squared

What is the cost per square yard for carpeting in the banquet room example?

• $28.00

• $25.00

• $23.50

• $20.00

In the guided practice, what shapes are identified in the irregular figure?

• Circle, square, and triangle

• Square, rectangle, and circle

• Hexagon, pentagon, and circle

• Rectangle, parallelogram, and triangle

What is the cost per square foot for replacing the glass in the window example?

• $20.00

• $23.50

• $25.00

• $28.00

What is the final step in calculating the total cost of carpeting the banquet room?

• Divide the total area by the cost per square yard

• Multiply the total area by the cost per square yard

• Subtract the cost of the windows

• Add the cost of the paint