Understanding the Area of a Square

The video tutorial explains how to find the area of a square using both the side length and the diagonal. Initially, it covers the basic formula for area using the side length. Then, it introduces the method of using the diagonal to find the area by employing the properties of a 45-45-90 triangle. The tutorial demonstrates how to derive the side length from the diagonal and use it in the area formula, providing a comprehensive understanding of calculating the area of a square in different scenarios.

What is the formula for finding the area of a square when the side length is known?

• Area = side - side

• Area = side / side

• Area = side x side

• Area = side + side

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

If a square has a side length of 8 units, what is its area?

• 8 square units

• 16 square units

• 32 square units

• 64 square units

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

When given the diagonal of a square, what must you find first to calculate the area?

• The side length

• The radius

• The perimeter

• The volume

Tags

CCSS.HSG.CO.C.10

What type of triangle is used to find the side length from the diagonal of a square?

• Scalene triangle

• Equilateral triangle

• 30-60-90 triangle

• 45-45-90 triangle

Tags

CCSS.8.G.B.8

In a 45-45-90 triangle, if the hypotenuse is 14, what is the length of each leg?

• 7

• 7√2

• 14√2

• 14

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you calculate the area of a square if the side length is 7√2?

• 49 square units

• 98 square units

• 14 square units

• 196 square units

What happens when you square a square root?

• It doubles

• It halves

• It cancels out

• It remains the same

What is the area of a square with a diagonal of 14 units?

• 98 square units

• 196 square units

• 49 square units

• 28 square units

Tags

CCSS.8.G.B.8

What is the relationship between the diagonal and the side in a square?

• Diagonal = side x √2

• Diagonal = side / √2

• Diagonal = side + √2

• Diagonal = side - √2

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the final step in finding the area of a square from its diagonal?

• Square the side length

• Add the side length to the diagonal

• Divide the diagonal by 2

• Multiply the diagonal by 2

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3