Understanding Area Calculations for Pool and Deck

The video tutorial explains how to calculate the total area of a pool and its surrounding cool deck using algebraic expressions. It demonstrates the process of finding the area of the entire complex, the pool, and the cool deck separately by using binomial multiplication and subtraction. The tutorial emphasizes the importance of combining like terms and using parentheses correctly in algebraic expressions.

What does the blue rectangle in the diagram represent?

• The pool

• The entire complex

• The cool deck

• The surrounding area

Which expression represents the total area of the complex?

• (x + 2)(x + 5)

• (x + 3)(x + 6)

• (x + 5)(x + 7)

• (x + 7)(x + 9)

What is the simplified expression for the total area of the complex?

• x^2 + 12x + 35

• x^2 + 14x + 49

• x^2 + 9x + 20

• x^2 + 10x + 25

How do you find the area of the pool?

• By subtracting the area of the deck from the total area

• By multiplying (x + 2) and (x + 5)

• By adding the areas of the pool and deck

• By dividing the total area by 2

What is the simplified expression for the area of the pool?

• x^2 + 7x + 10

• x^2 + 5x + 15

• x^2 + 9x + 20

• x^2 + 6x + 12

What is the first step in finding the area of the cool deck?

• Add the area of the pool to the total area

• Subtract the area of the pool from the total area

• Multiply the total area by 2

• Divide the total area by the area of the pool

What is the simplified expression for the area of the cool deck?

• 6x + 20

• 7x + 30

• 4x + 15

• 5x + 25

What operation is used to clear the parentheses when finding the area of the cool deck?

• Division

• Addition

• Subtraction

• Multiplication

What is the result of combining like terms in the expression for the cool deck area?

• x^2 + 12x + 35

• 5x + 25

• 10x + 30

• x^2 + 7x + 10

What units are used for the area calculations in this problem?

• Square meters

• Square inches

• Square feet

• Square yards