Understanding Area Models and Calculating Area

The video tutorial explains how to use an area model to calculate the area of a rectangle. It begins by describing the dimensions of a large rectangle divided into smaller rectangles. The tutorial then demonstrates how to create multiplication expressions to find the area, emphasizing that expressions do not contain equal signs. Two methods are shown: using the area model and direct multiplication. The video concludes by verifying the area calculation through both methods, ensuring accuracy.

What is the total length of the rectangle's longer side?

• Thirty units

• Twenty-seven units

• Twenty units

• Thirty-four units

How can you express the area of the rectangle using multiplication?

• (30 + 4) x (20 + 7)

• 30 x 20

• 34 + 27

• 30 x 7

Which of the following is NOT a correct expression for the area of the rectangle?

• 34 x 27

• (30 + 4) x (20 + 7)

• 30 x 7 + 4 x 20

• 30 x 20 + 4 x 7

What is the area of the rectangle that is 30 units by 20 units?

• 600 square units

• 210 square units

• 80 square units

• 28 square units

How do you find the total area of the large rectangle using the area model?

• Add the areas of the four smaller rectangles

• Multiply the lengths of the sides

• Subtract the smaller areas from the larger area

• Divide the total length by the width

What is the area of the rectangle that is 4 units by 7 units?

• 28 square units

• 600 square units

• 80 square units

• 210 square units

What is the total area of the rectangle in square units?

• 210 square units

• 918 square units

• 28 square units

• 600 square units

How do you verify the total area using multiplication?

• Divide the total length by the width

• Subtract the smaller areas from the larger area

• Add the lengths of the sides

• Calculate the product of 34 and 27

What is the result of multiplying 7 by 4 in the verification process?

• 8

• 28

• 21

• 23

What is the final step in verifying the total area using multiplication?

• Add the results of the partial products

• Subtract the smaller areas from the larger area

• Multiply the lengths of the sides

• Divide the total length by the width