Exploring Area of Composite Figures

The video tutorial explains how to calculate the area of a composite figure consisting of a square, a trapezoid, and a triangle. It begins by identifying the given measurements and unknowns, then uses the Pythagorean theorem to find the missing side of a right triangle. The dimensions of the square and trapezoid are calculated next. Finally, the areas of each shape are computed and summed to find the total area of the composite figure.

What shapes make up the composite figure discussed?

• Circle, Triangle, Hexagon

• Square, Trapezoid, Triangle

• Square, Circle, Triangle

• Rectangle, Trapezoid, Circle

What is the total height of the composite figure?

• 25.4 meters

• 24.5 meters

• 30.4 meters

• 20.5 meters

Which theorem is used to find the missing side of the triangle?

• Cosine Rule

• Triangle Sum Theorem

• Area Theorem

• Pythagorean Theorem

What is the length of each side of the square?

• 14.4 meters

• 12 meters

• 10 meters

• 15 meters

How is the height of the trapezoid determined?

• Multiplying the base by the height of the square

• Subtracting the square's side from the total height

• Adding the heights of the square and triangle

• Using the Pythagorean theorem

What is the area of the square?

• 69.12 square meters

• 100 square meters

• 134.2 square meters

• 207.36 square meters

How is the area of the trapezoid calculated?

• Length times width

• Base times height divided by two

• Half the height times the sum of the bases

• Base times height

What is the area of the triangle?

• 134.2 square meters

• 69.12 square meters

• 207.36 square meters

• 50 square meters

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

• Half the base times the height

• Base times height

• Pi times radius squared

• Length times width

What is the total area of the composite figure?

• 410.68 square meters

• 500 square meters

• 300 square meters

• 350 square meters