Calculating Area and Perimeter

The video tutorial explains how to calculate the area and perimeter of a rectangle using polynomial expressions. It begins with an introduction to the problem, followed by detailed steps to find the area using the FOIL method for binomials. The tutorial emphasizes the importance of including units in the final answer. It then transitions to calculating the perimeter, demonstrating how to combine like terms effectively. The video concludes with a reminder to include units in the perimeter calculation.

What are the side lengths of the rectangle given in the problem?

• 3x + 6 and 2x + 7

• 3x + 7 and 2x + 6

• 2x + 6 and 3x + 7

• 2x + 7 and 3x + 6

What is the first step in calculating the area of the rectangle?

• Write the formula for perimeter

• Use the FOIL method

• Write the formula for area

• Combine like terms

What is the second step in calculating the area of the rectangle?

• Write the formula for perimeter

• Use the FOIL method

• Plug in the numbers

• Combine like terms

Which method is used to expand the binomials when calculating the area?

• Distributive property

• FOIL method

• Pythagorean theorem

• Quadratic formula

What is the result of multiplying the first terms in the FOIL method for this problem?

• 6x^2

• 9x^2

• 5x^2

• 4x^2

What is the result of multiplying the outside terms in the FOIL method for this problem?

• 18x

• 16x

• 14x

• 12x

What is the result of multiplying the inside terms in the FOIL method for this problem?

• 14x

• 18x

• 12x

• 16x

What is the result of multiplying the last terms in the FOIL method for this problem?

• 42

• 36

• 40

• 38

What is the final expression for the area of the rectangle?

• 5x^2 + 32x + 42

• 6x^2 + 30x + 40

• 5x^2 + 30x + 40

• 6x^2 + 32x + 42

Why is it important to include units in your final answer for area?

• To make it look professional

• To confuse the examiner

• To avoid losing points

• To show your work