Area of a Regular Square Polygon WHAT!!!

The video tutorial explains how to find the area of a regular polygon, focusing on a square example. It covers the properties of regular polygons, the use of right triangles, and the application of SOHCAHTOA for calculations. The tutorial also discusses special 45-45-90 triangles and demonstrates the step-by-step process of calculating the area of the polygon by dividing it into triangles.

What defines a regular polygon?

• All sides are different.

• All sides and angles are equal.

• All angles are different.

• It has more than four sides.

How is the angle of 45 degrees derived in the square?

• By adding two 45-degree angles.

• By dividing a 90-degree angle in half.

• By multiplying 45 degrees by 2.

• By subtracting 45 degrees from 90 degrees.

What is the significance of a 45-45-90 triangle?

• It has equal legs and a hypotenuse that is the leg length times the square root of 2.

• It has all sides equal.

• It has a hypotenuse that is twice the length of one leg.

• It has one right angle and two different angles.

How do you simplify the expression 8 divided by the square root of 2?

• Multiply by the square root of 2 over 2.

• Add the square root of 2.

• Divide by 2.

• Subtract the square root of 2.

What is the formula for the area of a triangle?

• Base times height.

• Base plus height.

• Base divided by height.

• Base times height divided by 2.

How many triangles are formed when a square is divided as described?

• 4

• 2

• 8

• 6

What is the total area of the polygon in the example?

• 128 square millimeters

• 64 square millimeters

• 256 square millimeters

• 32 square millimeters