Area and Perimeter Concepts

The video tutorial covers the seventh-grade concept of finding the area of composite figures, specifically using the additive property of area. The instructor explains how to break down a complex shape into simpler shapes like rectangles, squares, and triangles, calculate their individual areas, and sum them up to find the total area. The tutorial uses a problem from the 2022 released STAR test to demonstrate the process, emphasizing logical reasoning and mathematical proof over mere observation.

What is the main topic discussed in this video tutorial?

• Volume of composite figures

• Perimeter of composite figures

• Surface area of composite figures

• Area of composite figures

Which shapes make up the sidewalk in the problem setup?

• Two rectangles and a circle

• Two triangles, a rectangle, and a square

• A triangle, a rectangle, and a circle

• Two squares and a triangle

What property allows us to find the area of composite figures by adding the areas of individual shapes?

• Multiplicative property of area

• Subtractive property of area

• Additive property of area

• Divisive property of area

How is the area of a rectangle calculated?

• Base plus height

• Base times height

• Base divided by height

• Base minus height

What is the area of the rectangle in the problem?

• 108 square feet

• 36 square feet

• 54 square feet

• 72 square feet

How do you calculate the area of a square?

• Base times height

• Side times side

• Side plus side

• Side divided by side

What is the area of the square in the problem?

• 18 square feet

• 36 square feet

• 72 square feet

• 54 square feet

What is the formula for the area of a triangle?

• Base minus height

• Base plus height

• One half base times height

• Base times height

How do we determine the base of the triangles in the problem?

• By measuring directly

• By dividing the total length by two

• By subtracting known lengths from the total length

• By adding known lengths

What is the area of one triangle in the problem?

• 18 square feet

• 72 square feet

• 54 square feet

• 36 square feet