How to determine the base of a parallelogram given the area from a word problem

The video tutorial explains how to find the base and height of a parallelogram given that the height is 10 feet more than the base and the area is 1200 square feet. The teacher sets up the problem using the area formula and the relationship between base and height. After an interruption, the lesson resumes with solving the equation by substituting the height expression and applying algebraic methods to find the base and height. The teacher demonstrates factoring the quadratic equation and finding the solutions, emphasizing the application of the zero product property.

What is the relationship between the height and the base of the parallelogram?

• The height is equal to the base.

• The height is 10 feet less than the base.

• The height is twice the base.

• The height is 10 feet more than the base.

What is the formula for the area of a parallelogram?

• Area = base * height

• Area = base + height

• Area = base / height

• Area = base - height

How is the height expressed in terms of the base in this problem?

• H = b - 10

• H = b + 10

• H = 10b

• H = b / 10

What is the quadratic equation derived from the area formula?

• B^2 - 10B - 1200 = 0

• B^2 - 10B + 1200 = 0

• B^2 + 10B - 1200 = 0

• B^2 + 10B + 1200 = 0

What are the solutions for the base of the parallelogram?

• B = 40 and B = 30

• B = -40 and B = -30

• B = 40 and B = -30

• B = -40 and B = 30