Exploring Area Calculation of Combined Rectangles

The video tutorial explains how to find the area of combined rectangles by breaking them into smaller rectangles using the distributive property. It demonstrates both vertical and horizontal line methods to divide rectangles and calculate their areas. Several examples are provided to illustrate these methods, showing how to sum the areas of smaller rectangles to find the total area. The video concludes with a call to action for viewers to like and subscribe.

What property is used to break apart an array into smaller arrays to find the area?

• Distributive property

• Associative property

• Additive property

• Commutative property

Tags

CCSS.3.MD.C.7D

What method involves drawing a line to separate a rectangle into smaller sections?

• Multiplicative division

• Distributive property

• Additive split

• Subtractive method

Tags

CCSS.4.NBT.B.6

CCSS.5.NBT.B.6

How does the distributive property help in finding the area of combined rectangles?

• By multiplying the total dimensions

• By dividing the rectangle into simpler parts

• By adding up individual areas

• By subtracting the unused area

Tags

CCSS.3.MD.C.7D

How do you calculate the area of a rectangle split into a 2x2 and a 5x3 rectangle?

• 2*2 + 5*3

• 2+2 + 5+3

• 2-2 + 5-3

• 2/2 + 5/3

Tags

CCSS.3.MD.C.7D

If a rectangle is divided into a 2x2 and a 5x3 section, what is the area of the larger section?

• 4 square units

• 10 square units

• 6 square units

• 15 square units

Tags

CCSS.3.MD.C.7D

What is the total area of a figure split into a 2x5 and a 3x3 rectangle?

• 15 square units

• 19 square units

• 18 square units

• 20 square units

Tags

CCSS.3.MD.C.7D

What is the result of adding the areas of a 2x5 and a 3x3 rectangle?

• 13 square units

• 15 square units

• 17 square units

• 19 square units

Tags

CCSS.3.MD.C.7D

When breaking a model using a vertical line, what are the areas of the two smaller rectangles if one is 4x2 and the other is 2x3?

• 12 square units

• 10 square units

• 14 square units

• 8 square units

What is the combined area of three smaller rectangles with dimensions 2x7, 3x2, and 2x3?

• 25 square units

• 24 square units

• 26 square units

• 23 square units

In a complex figure divided into three parts, if one part is 2x7, what is the area of that part?

• 14 square units

• 13 square units

• 12 square units

• 15 square units

Tags

CCSS.3.MD.C.7D