Area and Perimeter Formulas

The video tutorial covers the calculation of areas for various polygons, including rectangles, triangles, squares, parallelograms, and regular polygons like pentagons and hexagons. It explains the basic formulas and introduces shortcuts for specific shapes, such as equilateral triangles. The tutorial also discusses the use of trigonometry and special triangle rules to find missing dimensions necessary for area calculations.

What is the formula for the area of a rectangle?

• Length + Width

• Length x Width

• 2 x (Length + Width)

• Length x Height

How do you calculate the area of a triangle?

• Base + Height

• Base x Height / 2

• 1/2 x Base x Height

• Base x Height

What is the shortcut formula for the area of an equilateral triangle?

• s^2 x √2 / 2

• s^2 x √2 / 4

• s^2 x √3 / 4

• s^2 x √3 / 2

What is the formula for the area of a square?

• Side x Side

• Side + Side

• 2 x Side

• Side x Height

When given the diagonal of a square, which rule helps find the side length?

• 30-60-90 triangle rule

• Pythagorean theorem

• 45-45-90 triangle rule

• Equilateral triangle rule

What must you find to calculate the area of a parallelogram?

• The base

• The perimeter

• The height

• The diagonal

Which method is often used to find the height of a parallelogram?

• Using trigonometry or special right triangles

• Using the base

• Using the diagonal

• Using the perimeter

What is the formula for the area of a regular polygon?

• 1/2 x Apothem x Perimeter

• Apothem x Perimeter

• Base x Height

• 1/2 x Base x Height

What is an apothem in a regular polygon?

• The longest side

• The shortest side

• The perpendicular distance from the center to a side

• The diagonal of the polygon

In a regular polygon, what does the perimeter represent?

• The sum of all angles

• The distance from the center to a vertex

• The length of one side

• The sum of all side lengths