Exploring Adding and Subtracting Rational Expressions

The video tutorial introduces the concept of area, covering basic formulas for rectangles, parallelograms, and triangles. It explains how to calculate the area of these shapes, including special cases like equilateral triangles. The tutorial also demonstrates how to work backwards to find missing dimensions using given area values. The teacher uses examples and encourages students to recall prior knowledge, making the content accessible and engaging.

What is the formula for the area of a rectangle?

• Length + Width

• Length x Width

• Length - Width

• Length / Width

How do you find the area of a parallelogram?

• Base / Height

• Base + Height

• Base x Height

• Base - Height

How do you calculate the area of a parallelogram using base and height?

• Subtract height from base

• Add base and height

• Divide base by height

• Multiply base by height

What is the correct way to find the height needed for area calculation in a parallelogram?

• Using the side parallel to the base

• Using a perpendicular from the base

• Measuring the slanted side

• Using the longest side of the parallelogram

What theorem is used to find the height in a right triangle?

• Theorem of Thales

• Euclidean Theorem

• Fermat's Last Theorem

• Pythagorean Theorem

What is the area formula for a triangle?

• 0.5 x Base x Height

• Base x Height

• Base - Height

• Base + Height

How is the area of a triangle related to the area of a parallelogram?

• It is double the area of a parallelogram.

• It is half the area of a parallelogram.

• It is unrelated to the area of a parallelogram.

• It is equal to the area of a parallelogram.

In a 45-45-90 triangle, if one leg is 5 units, what is the length of the other leg?

• 2.5 units

• 7.5 units

• 10 units

• 5 units

What special formula is used for the area of an equilateral triangle?

• Side squared x Root 4 / 3

• Side squared x Root 2 / 4

• Side squared x Root 3 / 4

• Side squared x Root 3 / 2

Using the special area formula for an equilateral triangle, what is the area if the side length is 10?

• 50 square units

• 43.3 square units

• 30 square units

• 25 square units