Area of Rectangles Expressions

This video tutorial covers the distributive property using rectangles to illustrate the concept. It begins with basic examples of calculating the area of rectangles with known and unknown lengths, then progresses to more complex examples involving variables. The tutorial emphasizes writing expressions for the sum of areas and demonstrates the distributive property through various examples. The session concludes with a problem-solving exercise to reinforce the concepts learned.

What is the expression for the area of a rectangle with a width of 5 and a length of x + 8?

• 5x + 40

• x + 8

• 5(x + 8)

• 5x + 8

If a rectangle has a width of 3 and a length of a + 5, what is the expression for its area?

• 3a + 5

• 3(a + 5)

• a + 5

• 3a + 15

How do you express the area of a rectangle with a width of 1/3 and a length of 6 + x?

• 1/3x + 2

• 1/3(6 + x)

• 1/3x + 6

• 6 + x

What is the simplified expression for the area of a rectangle with a width of 6 and a length of 4p?

• 6(4p)

• 24p

• 6p + 4

• 4p + 6

For a rectangle with a width of m and a length of 6 + 8, what is the expression for its area?

• 6m + 8

• 6m + 8m

• m + 14

• m(6 + 8)

How do you express the area of a rectangle with a width of 5 and a length of 3x + 8?

• 3x + 40

• 5(3x + 8)

• 5x + 8

• 15x + 8

Which expression correctly represents the area of a rectangle with a width of 5 and a length of b + 3?

• 3(5 + b)

• 5(b + 3)

• 5b + 3

• b + 15

What is the correct expression for the area of a rectangle with a width of 5 and a length of b + 3, shown as a sum?

• 3b + 15

• 5b + 15

• b + 15

• 5b + 3

Which of the following is NOT a correct expression for the area of a rectangle with a width of 5 and a length of b + 3?

• b + 15

• 3(5 + b)

• 5b + 15

• 5(b + 3)

In the context of the distributive property, why is it important to keep the variable with its coefficient?

• To ensure the expression is simplified

• To accurately represent the area

• To maintain the correct order of operations

• To avoid errors in calculation