Exploring Area Calculations for Composite Figures

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

• Calculate the perimeter first

• Break them into simpler shapes

• Subtract smaller figures from larger ones

• Add all the figures together

What shapes make up the first composite figure discussed?

• A circle and a rectangle

• Two rectangles

• Two trapezoids

• A trapezoid and a rectangle

Tags

CCSS.1.G.A.2

How is the area of a trapezoid calculated?

• Base times height

• Length times width

• Half the sum of the bases times the height

• Pi times radius squared

Tags

CCSS.6.G.A.1

What is the area of the semi-circle in the second example?

• 9 pi

• 18 pi

• 36

• 18

Tags

CCSS.7.G.B.4

What is the height of the triangle in the third example?

• 12 feet

• 7 feet

• 6 feet

• 3 feet

What is the combined area of the isosceles triangle and rectangle in example four?

• 150 square meters

• 210 square meters

• 90 square meters

• 60 square meters

In the fifth example, what mathematical operation is used to combine the areas of the shapes?

• Subtraction

• Multiplication

• Addition

• Division

Tags

CCSS.3.MD.C.7D

What is the area of the rectangle before the semi-circle is cut out in the sixth example?

• 1500 square feet

• 750 square feet

• 225 square feet

• 3000 square feet

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the radius of the semi-circle cut out in the sixth example?

• 22.5 feet

• 7.5 feet

• 30 feet

• 15 feet

Tags

CCSS.7.G.B.4

How do you calculate the area of a circle?

• Pi times radius squared

• Half the diameter squared times pi

• Radius times diameter times pi

• Circumference divided by pi

Tags

CCSS.7.G.B.4