Learn how to solve a word problem by using factoring a quadratic

The video tutorial covers the calculation of a patio's area, starting with the existing dimensions and moving to a proposed new area. The instructor models an equation for the new area, solves for the variable X, and factors a quadratic equation to find possible solutions. The tutorial concludes by interpreting the solution, emphasizing that a negative length is not feasible, and determining the new dimensions of the patio.

What is the formula used to calculate the area of a rectangle?

• Length times width

• Length plus width

• Length divided by width

• Length minus width

What are the new dimensions of the patio in terms of X?

• (20 / X) and (30 / X)

• (20 * X) and (30 * X)

• (20 - X) and (30 - X)

• (20 + X) and (30 + X)

What is the first step in solving the quadratic equation for the new patio area?

• Add the terms

• Set the equation to zero

• Divide the terms

• Multiply the terms

Which method is used to solve the quadratic equation in this context?

• Factoring

• Graphing

• Completing the square

• Using the quadratic formula

What does the variable X represent in the context of the patio problem?

• The width of the patio

• The length of the patio

• The extension of the patio

• The area of the patio

Why is a negative value for X not a valid solution?

• Because it would make the width negative

• Because it would make the length negative

• Because it would make the perimeter negative

• Because it would make the area negative

What are the new side lengths of the patio when X equals 8?

• 20 and 30

• 28 and 38

• 18 and 28

• 38 and 48