Area Calculations in Geometry

The video tutorial covers a series of geometry problems involving calculating missing side lengths and areas of various shapes, including irregular polygons, trapezoids, and walls. It demonstrates different methods of decomposition and composition to solve these problems, using both standard and metric units. The tutorial also includes practical applications such as determining paintable and carpeted areas.

If segment AB is 20 units and segment FE is 12 units, what is the length of segment DC?

• 8 units

• 20 units

• 9 units

• 12 units

What is the area of rectangle A if its dimensions are 9 by 20 units?

• 96 square units

• 200 square units

• 180 square units

• 276 square units

Given DC is 1.9 cm and FE is 5.6 cm, what is the length of AB?

• 4.8 cm

• 10.9 cm

• 6.1 cm

• 7.5 cm

Calculate the area of rectangle B with dimensions 1.9 cm by 10.9 cm.

• 30.00 cm²

• 47.59 cm²

• 20.71 cm²

• 26.88 cm²

What is the total area of the polygon in Problem 2?

• 50.00 cm²

• 20.71 cm²

• 26.88 cm²

• 47.59 cm²

How is the area of triangle A in the trapezoid calculated?

• 1/2 base times height

• Base times height

• Base plus height

• 1/3 base times height

What is the area of triangle C if its base is 3 meters and height is 18 meters?

• 36 m²

• 27 m²

• 54 m²

• 18 m²

What is the total area of the trapezoid in Problem 3?

• 225 m²

• 198 m²

• 150 m²

• 250 m²

How do you calculate the area of triangle A in the isosceles trapezoid?

• 1/2 base times height

• Base times height

• Base plus height

• 1/3 base times height

What is the area of the rectangle in the middle of the trapezoid?

• 45 m²

• 36 m²

• 126 m²

• 90 m²