Finding Areas in Composite Figures with Overlapping Regions

This video tutorial explains how to find the area of composite figures with overlapping or shaded regions. It covers various examples, including combinations of rectangles, trapezoids, triangles, circles, and squares. The process involves calculating the area of each shape and subtracting the smaller area from the larger one to find the shaded region. The tutorial provides step-by-step instructions for each example, ensuring a clear understanding of the concepts.

What is the first step in finding the area of a shaded region in a composite figure?

• Subtract the smaller area from the larger area

• Multiply the base by the height

• Add all the areas together

• Divide the total area by two

How do you calculate the area of a rectangle?

• Half the base times height

• Base times height divided by two

• Base times height

• Base plus height

What formula is used to find the area of a trapezoid?

• Base times height

• (Base1 + Base2) times height

• Half the base times height

• (Base1 + Base2) times height divided by 2

How is the area of a triangle calculated?

• Base plus height

• Base times height divided by 2

• Base times height

• (Base1 + Base2) times height divided by 2

What is the formula to calculate the area of a circle?

• Pi times radius squared

• Pi times radius

• Pi times diameter

• 2 times Pi times radius

How do you find the area of a quarter circle?

• Pi times diameter squared divided by 4

• Pi times radius squared divided by 2

• Area of a full circle divided by 4

• 2 times Pi times radius divided by 4

What is the area of a square with side length 4?

• 8

• 20

• 16

• 12

How do you calculate the shaded area within a larger square containing two smaller squares?

• Multiply the areas of the smaller squares and subtract from the larger square

• Divide the area of the larger square by the areas of the smaller squares

• Add the areas of the smaller squares and subtract from the larger square

• Subtract the area of the smaller squares from the larger square

What is the radius of a circle if its diameter is given as 4?

• 2

• 4

• 8

• 16

How do you find the total area of three circles with the same radius?

• Pi times radius times 3

• Pi times radius squared divided by 3

• 3 times Pi times radius

• Pi times radius squared times 3