Exploring Area of Composite Figures

The video tutorial by Coach Stone covers lesson 8.5 on calculating the area of composite shapes. It explains the concept of composite shapes as multiple shapes combined together and demonstrates two methods to find their area: dividing into smaller shapes and subtracting areas. The tutorial includes four examples: calculating areas of a hexagon and rectangle, two trapezoids and a rectangle, determining turf cost for a football field, and finding the area of a shaded region by subtracting circles from a rectangle.

What does the term 'composite' refer to in the context of shapes?

• A shape with curved edges

• A shape made up of multiple simpler shapes

• A shape with only straight edges

• A three-dimensional shape

Tags

CCSS.1.G.A.2

How can the area of an L-shaped figure be calculated?

• By multiplying the base and height

• By adding the areas of two rectangles

• By subtracting the area of a smaller shape from a larger one

• By using the Pythagorean theorem

Tags

CCSS.3.MD.C.7D

What method can be used to find the area of a composite shape that includes a hexagon and a rectangle?

• Add the areas of the hexagon and rectangle

• Subtract the area of the rectangle from the hexagon

• Multiply the areas of the hexagon and rectangle

• Divide the area of the hexagon by the rectangle

Tags

CCSS.3.MD.C.7D

In landscaping, how is the cost of new turf calculated?

• By subtracting the unused area from the total cost

• By dividing the total area by the cost per square foot

• By adding the cost of each type of turf used

• By multiplying the area by the cost per square foot

What shapes make up the composite figure in the turf example?

• A rectangle and two semi-circles

• A rectangle and a full circle

• Two rectangles and a circle

• Two trapezoids and a rectangle

Tags

CCSS.1.G.A.2

How do you calculate the area of a shaded region that involves cutting out circles from a rectangle?

• Divide the area of the rectangle by the circles

• Multiply the area of the rectangle by the circles

• Subtract the area of the circles from the rectangle

• Add the area of the rectangle to the circles

Tags

CCSS.3.MD.C.7D

What is the formula for the area of a rectangle?

• Pi times radius squared

• Base times height

• Length times width

• Length plus width

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

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

• Pi times diameter squared

• Pi times radius squared

• Pi times diameter

• Radius times diameter

Tags

CCSS.7.G.B.4

How can the area of a trapezoid be calculated?

• Base times height

• Half the sum of the bases times the height

• Sum of all sides divided by two

• Length times width

Tags

CCSS.6.G.A.1

What is the method to find the area of a composite shape that includes two congruent trapezoids and a rectangle?

• Add the areas of all shapes involved

• Divide the area of the trapezoids by two and subtract the rectangle

• Multiply the area of one trapezoid by two and add the rectangle

• Add the areas of the trapezoids and subtract the rectangle

Tags

CCSS.3.MD.C.7D