Maximizing Area with Fencing

The video tutorial explains how to maximize the area of a rectangular garden using a budget of $780 for fencing. It involves setting up cost and area equations, solving for variables, and using a quadratic function to find the maximum area. The tutorial concludes with calculating the optimal dimensions for the garden.

What is the total budget available for fencing the garden?

• $780

• $500

• $1200

• $1000

How much does cedar fencing cost per foot?

• $10

• $12

• $20

• $16

What is the cost equation derived from the fencing costs?

• 20L + 26W = 780

• 10L + 16W = 780

• 26L + 20W = 780

• 16L + 10W = 780

Which variable is solved for in the constraint equation to substitute into the area equation?

• Neither

• W

• L

• Both L and W

What type of mathematical function is used to maximize the area?

• Logarithmic

• Exponential

• Quadratic

• Linear

What is the shape of the graph of the area function?

• Circle

• Parabola

• Ellipse

• Hyperbola

What is the formula used to find the vertex of a parabola?

• x = -a/2b

• x = a/2b

• x = b/2a

• x = -b/2a

What is the maximum area that can be enclosed by the garden?

• 300 square feet

• 320 square feet

• 292.50 square feet

• 250 square feet

What is the length of the cedar side of the garden?

• 15 feet

• 10 feet

• 25 feet

• 20 feet

What is the width of the garden?

• 21.5 feet

• 20.5 feet

• 19.5 feet

• 18.5 feet