Area and Height of Triangles and Trapezoids

The video tutorial covers how to find missing dimensions of shapes when the area is known. It includes examples of solving for the height of a rectangle, the base of a triangle, and both the base and height of trapezoids. The instructor demonstrates different methods to solve these problems, emphasizing the importance of understanding formulas and arithmetic operations.

What is the main focus of today's lesson?

• Identifying types of shapes

• Finding the area of different shapes

• Determining missing dimensions using area

• Calculating the perimeter of shapes

If a rectangle has an area of 54 cm² and a base of 6 cm, what is its height?

• 11 cm

• 9 cm

• 8 cm

• 10 cm

Which formula is used to find the area of a rectangle?

• Base + Height / 2

• Base * Height

• Base * Height / 2

• Base + Height

A triangle has an area of 22 cm² and a height of 4 cm. What is the base?

• 6 cm

• 5.5 cm

• 11 cm

• 8 cm

What is the formula for the area of a triangle?

• Base + Height

• Base * Height / 2

• Base * Height

• Base + Height / 2

In solving for the base of a triangle, which step is NOT necessary?

• Dividing the area by the height

• Subtracting the height from the area

• Multiplying the area by 2

• Dividing by the height

A trapezoid has an area of 135 cm², a height of 10 cm, and one base of 18 cm. What is the other base?

• 12 cm

• 9 cm

• 10 cm

• 11 cm

What is the formula for the area of a trapezoid?

• Base1 * Base2 * Height

• (Base1 + Base2) / 2 * Height

• (Base1 + Base2) * Height

• (Base1 + Base2) / Height

If a trapezoid's area is 77 cm², with bases of 8 cm and 14 cm, what is the height?

• 7 cm

• 8 cm

• 6 cm

• 5 cm

How do you verify the height of a trapezoid?

• Add the bases, multiply by height

• Add the bases, divide by 2, multiply by height

• Multiply the bases, divide by height

• Subtract the bases, multiply by height