Calculating Areas of Shapes

The video tutorial explains how to calculate the area of a complex shape by breaking it down into simpler parts, such as triangles and rectangles. It provides step-by-step calculations for each part, including the use of basic arithmetic and geometric formulas. The tutorial encourages viewers to attempt the problem independently before following along with the solution. The final step involves summing the areas of all parts to find the total area of the shape.

What is the length of the side that measures 6.5 units?

• The width of the rectangle

• The height of the second triangle

• The base of the first triangle

• The length of the entire shape

How do you calculate the area of a right triangle?

• Base plus height

• Base minus height

• Base times height divided by 2

• Base times height

What is the area of the first triangle?

• 6.5 square units

• 12.25 square units

• 7 square units

• 3.5 square units

What is the base of the second triangle?

• 2 units

• 3.5 units

• 7 units

• 9 units

What is the area of the second triangle?

• 3.5 square units

• 7 square units

• 6.5 square units

• 12.25 square units

How can the trapezoid be divided for easier area calculation?

• Into a rectangle and a triangle

• Into two triangles

• Into two squares

• Into a square and a triangle

What is the length of the rectangle in the trapezoid?

• 12 units

• 9 units

• 6.5 units

• 3.5 units

What is the area of the rectangle in the trapezoid?

• 27 square units

• 31.5 square units

• 13.5 square units

• 9 square units

What is the area of the triangle in the trapezoid?

• 9 square units

• 13.5 square units

• 31.5 square units

• 27 square units

What is the total area of the entire shape?

• 55.5 square units

• 60.75 square units

• 50.25 square units

• 70.5 square units