Calculating Areas of Squares

The video tutorial explains how to find the area of a shaded region formed by a smaller square inscribed within a larger square. The larger square has a side length of 20 inches. The process involves calculating the area of the larger square, determining the side length of the smaller square using the Pythagorean theorem, and then finding the area of the smaller square. Finally, the area of the shaded region is obtained by subtracting the area of the smaller square from the larger square.

What is the side length of the larger square in the problem?

• 20 inches

• 25 inches

• 15 inches

• 30 inches

How do you calculate the area of a square?

• Diameter squared

• Side squared

• Base times height

• Length times width

What is the first step in finding the side length of the smaller square?

• Find the midpoint of a line segment

• Calculate the area of the larger square

• Subtract the areas

• Use the Pythagorean theorem

Which theorem is used to find the side length of the smaller square?

• Binomial theorem

• Thales' theorem

• Pythagorean theorem

• Fundamental theorem of calculus

What is the value of x, the side length of the smaller square, in terms of square roots?

• 15√2

• 5√2

• 20√2

• 10√2

How do you simplify the square root of 200?

• 20

• 20√2

• 10

• 10√2

What is the area of the larger square?

• 500 square inches

• 400 square inches

• 200 square inches

• 300 square inches

What is the area of the smaller square?

• 100 square inches

• 150 square inches

• 200 square inches

• 250 square inches

What is the area of the shaded region?

• 200 square inches

• 150 square inches

• 100 square inches

• 250 square inches

What units are used for the area in this problem?

• Square centimeters

• Square inches

• Square feet

• Square meters