Calculating Area and Perimeter of Rectangles

The video tutorial explains how to find the perimeter of a shaded region within a large rectangle. It begins by calculating the area of the orange rectangle using the area of the large rectangle and subtracting the areas of smaller rectangles. The tutorial then explores possible dimensions for the large rectangle using factorization and eliminates improbable dimensions. Finally, it confirms the dimensions and calculates the perimeter of the orange rectangle, providing a step-by-step guide to solving the problem.

What is the area of the large rectangle given in the problem?

• 28 square units

• 56 square units

• 21 square units

• 147 square units

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CCSS.3.MD.C.7D

How is the area of the orange rectangle calculated?

• By dividing the area of the large rectangle by 2

• By adding the areas of the smaller rectangles

• By subtracting the areas of the smaller rectangles from the large rectangle

• By multiplying the length and width of the large rectangle

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CCSS.3.MD.C.7D

What is the prime factorization of 147?

• 1 * 147

• 7 * 21

• 3 * 49

• 3 * 7 * 7

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CCSS.4.MD.A.3

Which of the following is NOT a possible dimension for the large rectangle?

• 7 by 21

• 5 by 29

• 3 by 49

• 1 by 147

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CCSS.3.MD.D.8

What are the dimensions of the small rectangle with an area of 15?

• 7 by 2

• 5 by 3

• 3 by 5

• 1 by 15

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CCSS.HSG.CO.C.11

What is the length of the side of the orange rectangle that is parallel to the 21-unit side of the large rectangle?

• 14 units

• 7 units

• 16 units

• 3 units

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CCSS.2.MD.A.3

What is the width of the orange rectangle?

• 4 units

• 7 units

• 3 units

• 5 units

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CCSS.4.MD.A.3

How do you calculate the perimeter of a rectangle?

• Multiply the length by the width

• Multiply the length by 2 and the width by 2, then add

• Add the length and width

• Add the length of all four sides

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CCSS.4.MD.A.3

What is the perimeter of the orange rectangle?

• 28 units

• 36 units

• 48 units

• 56 units

Why is the perimeter expressed in units and not square units?

• Because perimeter is a measure of volume

• Because perimeter is a measure of length

• Because perimeter is a measure of area

• Because perimeter is a measure of weight