Finding Area by Decomposing Shapes

What is the initial step in solving the area of a complex figure?

• Using a calculator

• Decomposing it into simpler shapes

• Applying a direct formula

• Guessing the area based on experience

Tags

CCSS.3.MD.C.7D

How do you find the area of a complex figure without a known formula?

• By breaking it into smaller, known shapes

• Using advanced calculus

• Guessing based on its appearance

• Consulting a mathematician

Tags

CCSS.3.MD.C.7D

What shapes are used to simplify the 10-sided figure?

• Triangles

• Hexagons

• Circles

• Rectangles

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

How many rectangles are identified to calculate the area?

• Three

• Five

• Two

• Four

Which method is used to find the area of the figure?

• Decomposition into simpler shapes

• Integration

• Direct calculation

• Estimation

Tags

CCSS.3.MD.C.7D

What is the area of the first rectangle identified?

• 27 square meters

• 6 square meters

• 9 square meters

• 12 square meters

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of the second rectangle?

• 27 square meters

• 12 square meters

• 9 square meters

• 6 square meters

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How is the area of the third rectangle calculated?

• Counting the squares manually

• Adding the sides together

• Using the Pythagorean theorem

• Multiplying length by width

Tags

CCSS.3.MD.C.6

What is the area of the purple rectangle?

• 36 square meters

• 27 square meters

• 9 square meters

• 6 square meters

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the total area of the figure?

• 48 square meters

• 42 square meters

• 54 square meters

• 36 square meters

Tags

CCSS.6.G.A.1