Exploring Area of Composite Figures

What is the first step in calculating the area of composite figures?

• Draw the composite figure

• Multiply the dimensions of the composite figure

• Identify and separate the simple shapes

• Add the areas of simple shapes

What is the purpose of calculating the area of composite figures?

• To understand geometry better

• To calculate the volume of shapes

• To find the perimeter of the figure

• To apply it in real-world scenarios like construction

How do you calculate the area of a rectangle?

• Length plus width

• Length times width

• Base times height

• Half the base times height

What formula is used to calculate the area of a hexagon?

• Base times height divided by 2

• One half the apothem times the perimeter

• Pi times radius squared

• Side length squared times 2.598

What is the area of a trapezoid formula?

• (Base1 + Base2) times height divided by 2

• Base times height

• One half base times height

• (Base1 + Base2) times height

How do you find the area of a composite figure involving subtraction?

• Divide the area of the larger shape by the smaller shapes

• Add the areas of all shapes

• Subtract the area of smaller shapes from the larger shape

• Multiply the areas of all shapes

What is the area of a circle formula?

• Pi times diameter

• Pi times radius squared

• Pi times diameter squared

• 2 times Pi times radius

How do you calculate the cost of turf needed for a football field?

• Multiply the area by the cost per square foot

• Add the cost per square foot to the total area

• Divide the total area by the cost per square foot

• Subtract the cost per square foot from the total area

What shapes make up the football field in the final example?

• Two rectangles and two semi-circles

• Two trapezoids and one rectangle

• One rectangle and one circle

• One rectangle and two semi-circles

How is the radius of a circle determined in the context of the football field?

• It is the same as the length of the rectangle

• It is twice the diameter of the semi-circle

• It is half the diameter, which is the width of the rectangle

• It is given directly in the problem