Calculating Areas and Perimeters of Composite Figures

This video tutorial explains how to calculate the area and perimeter of composite figures. It covers strategies for adding and subtracting areas of individual shapes to find the total area of composite figures. The video includes examples such as a square and triangle combination, and a rectangle with a hole. It also provides a practice problem involving a semicircle and trapezoid. For perimeter calculations, the video emphasizes highlighting the outer edges to avoid errors.

What is the main goal of the video tutorial?

• To memorize mathematical formulas

• To understand the history of geometry

• To learn how to draw composite figures

• To calculate the area and perimeter of composite figures

What is a composite figure?

• A figure with no defined shape

• A figure made up of two or more shapes

• A figure made up of a single shape

• A figure that cannot be measured

How do you calculate the total area of a composite figure made of a square and a triangle?

• Divide the area of the square by the triangle

• Add the areas of the square and triangle

• Multiply the areas of the square and triangle

• Subtract the area of the triangle from the square

What is the formula for the area of a square?

• Length + Width

• Length x Width

• Length / Width

• Length - Width

What is the strategy for calculating the area of a rectangle with a hole?

• Multiply the area of the hole by the rectangle

• Add the area of the hole to the rectangle

• Subtract the area of the hole from the rectangle

• Ignore the hole and calculate the rectangle

How do you calculate the area of a circle?

• Pi x Diameter

• Pi x Radius^2

• Diameter x Radius

• Pi x Diameter^2

What should you do if a composite figure is made up of shapes added together?

• Subtract the areas of the shapes

• Multiply the areas of the shapes

• Add the areas of the shapes

• Divide the areas of the shapes

What is the formula for the area of a semicircle?

• Pi x Radius^2

• Pi x Diameter / 2

• Pi x Diameter

• Pi x Radius^2 / 2

How do you calculate the area of a trapezoid?

• (Base1 + Base2) x Height / 2

• Base x Height

• (Base1 - Base2) x Height / 2

• Base1 x Base2 x Height

What is the first step in calculating the perimeter of a composite figure?

• Calculate the area first

• Multiply all side lengths

• Highlight the outside of the figure

• Ignore the inside shapes