Understanding Perimeter and the Pythagorean Theorem

The video tutorial explains how to find the perimeter of a rectangle using a given side and diagonal. It introduces the concept of a right triangle within the rectangle and applies the Pythagorean theorem to find the missing side. Once the missing side is determined, the perimeter is calculated by adding the lengths of all sides. The tutorial emphasizes that the diagonal is only needed to find the missing side, not for the perimeter calculation itself.

What is the given diagonal length of the rectangle?

• 6

• 5

• 4

• 3

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What shape is formed when focusing on half of the rectangle?

• Pentagon

• Circle

• Right triangle

• Square

Tags

CCSS.8.G.B.8

Which theorem is used to find the missing side of the triangle?

• Pythagorean theorem

• Fermat's Last Theorem

• Binomial theorem

• Thales' theorem

Tags

CCSS.8.G.B.7

If one leg of the triangle is 3 and the hypotenuse is 5, what is the length of the other leg?

• 2

• 3

• 4

• 5

Tags

CCSS.HSG.CO.A.1

What is the length of the side opposite to the side labeled 4 in the rectangle?

• 5

• 4

• 6

• 3

Why is the diagonal no longer needed after finding the missing side?

• Because the diagonal is not part of the perimeter

• Because the diagonal is too long

• Because the diagonal is not a straight line

• Because the diagonal is not a side of the rectangle

Tags

CCSS.4.MD.A.3

What is the formula used to calculate the perimeter of the rectangle?

• Length + Width

• 2(Length + Width)

• Length x Width

• Length - Width

Tags

CCSS.4.MD.A.3

What is the perimeter of the rectangle in this problem?

• 10

• 12

• 14

• 16

What are the units used for the perimeter in this problem?

• Meters

• Inches

• Feet

• Centimeters

Tags

CCSS.8.G.B.8

What was the purpose of using the diagonal in this problem?

• To find the area

• To find the missing side

• To find the volume

• To find the height

Tags

CCSS.8.G.B.8