Area and Side Length of Squares

This video tutorial covers various mathematical problems related to squares, including calculating side lengths from areas, comparing side lengths, and finding areas of squares. It also explores comparing the areas of countries using scientific notation and identifying expressions equivalent to a given exponent. The tutorial is designed for eighth-grade students and aims to enhance problem-solving skills in mathematics.

What is the side length of a square with an area of 81 square feet?

• 9 feet

• 7 feet

• 8 feet

• 10 feet

If a square has an area of 36 square units, what is the side length?

• 6 units

• 8 units

• 5 units

• 7 units

Which of the following is the side length of a square with an area of 0.0001 square units?

• 0.01 units

• 0.1 units

• 0.001 units

• 0.0001 units

Which square has the smallest side length if the side lengths are the square root of 26, 4.2, and the square root of 11?

• Square B

• Square A

• All are equal

• Square C

What is the area of a square with a side length of 1/5 centimeters?

• 1/15 cm²

• 1/10 cm²

• 1/5 cm²

• 1/25 cm²

Calculate the area of a square with a side length of 3.5 centimeters.

• 13.25 cm²

• 11.25 cm²

• 10.25 cm²

• 12.25 cm²

How much more area does Russia have compared to Canada?

• 8.12 million km²

• 7.12 million km²

• 6.12 million km²

• 5.12 million km²

Which group of countries has a greater total area: the three largest Asian countries or the three largest American countries?

• Asian countries

• American countries

• None of the above

• Both are equal

Which expression is equivalent to 10 to the power of negative six?

• 1/1,000,000

• 10/1,000,000

• 100/1,000,000

• 1,000/1,000,000

What is the result of multiplying 10 to the power of 8 by 10 to the power of -2?

• 10^10

• 10^6

• 10^-6

• 10^8