Calculating Area of Shapes

This lesson covers finding the areas of polygons through various methods, including decomposition and subtraction. It begins with a real-world problem involving a dollhouse, followed by examples of calculating areas for a patio, a garden path, and a polygon on a coordinate plane. The lesson emphasizes multiple approaches to solving area problems, encouraging students to explore different methods.

What is the main objective of Math 6 Lesson 7-4?

• To understand the properties of circles

• To learn about the history of polygons

• To find the areas of polygons

• To calculate the perimeter of squares

What material does Gabrielle need to cover the floors in her dollhouse?

• Carpet

• Felt

• Tile

• Wood

How can the area of a polygon be found by decomposing it?

• By dividing it into circles

• By using a protractor

• By measuring its perimeter

• By decomposing it into familiar shapes like rectangles

What is the area of the long rectangle in Gabrielle's floor plan?

• 110 square inches

• 150 square inches

• 260 square inches

• 200 square inches

What is the total area of felt needed for Gabrielle's floor plan?

• 200 square inches

• 150 square inches

• 260 square inches

• 300 square inches

What is another method to find the area of Gabrielle's floor plan?

• By using a compass

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

• By adding the perimeter

• By measuring the height

What is the area of the whole rectangle in the alternative method for Gabrielle's floor plan?

• 180 square inches

• 260 square inches

• 440 square inches

• 300 square inches

In the patio example, what shapes are used to find the total area?

• Trapezoids and kites

• Circles and squares

• Rectangles and triangles

• Hexagons and pentagons

What is the area of the patio in the example?

• 36 square meters

• 24 square meters

• 48 square meters

• 60 square meters

How can the area of the patio be found using an alternative method?

• By subtracting the area of triangles from a larger rectangle

• By adding the perimeter

• By measuring the height

• By using a compass