Area and Perimeter Concepts

The video tutorial covers the calculation of areas for composite figures, which are made up of multiple simple shapes. It introduces the concept of composite figures, explains important equations for calculating areas of different shapes, and provides several examples to illustrate the process. The tutorial also includes real-life applications, such as calculating the cost of carpeting a room and replacing window glass, to demonstrate the practical use of these mathematical concepts.

What is one method to find the area of a composite figure?

• Estimate by eye

• Divide it into rectangles and triangles

• Divide it into circles and squares

• Use only the perimeter

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

• Side squared

• Length times width

• Base times height

• One-half base times height

How do you calculate the area of a trapezoid?

• Side squared

• Sum of bases times height divided by two

• Base times height

• Length times width

In the example, what shapes were used to calculate the area of the composite figure?

• Circle and square

• Parallelogram and trapezoid

• Rectangle and circle

• Triangle and hexagon

What is the area of a parallelogram with a base of 10 cm and a height of 1.5 cm?

• 30 cm²

• 25 cm²

• 20 cm²

• 15 cm²

In the practice problem, what is the total area of the composite figure made of two triangles and a rectangle?

• 55 square units

• 44.5 square units

• 51.5 square units

• 60 square units

What is the length of the rectangle in the practice problem if it extends 3 feet beyond the given 8 feet?

• 12 feet

• 11 feet

• 10 feet

• 8 feet

How much does it cost to carpet a room if the area is 33 square yards and the cost per square yard is $23.50?

• $700.00

• $850.00

• $800.00

• $775.50

What is the area of a semicircle with a radius of 5 units?

• 25 units

• 39.25 units

• 78.5 units

• 50 units

If the glass costs $28 per square foot, what is the cost to replace the glass in a window with an area of 32.56 square feet?

• $850.00

• $900.00

• $950.00

• $911.68