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10.1: FOILed Again

Difficulty Level: At Grade Created by: CK-12

This activity is intended to supplement Algebra I, Chapter 9, Lesson 2.

Problem 1 - Introduction to Area of a Rectangle

Run the AREA program (in PRGM) and select the option for Problem 1 (#1).

Enter 6 for W.

1. What are the lengths of the sides of the rectangle?

2. What is the area of the rectangle when w=6?

Now, change the width of the side by running the program again and enter a new value for W.

3. What is the area of the rectangle when w=4? When w=9?

4. Explain how the expression for the area is simplified.

Problem 2 - Areas of Small Rectangles

The rectangle at the right has dimensions (x+7) and rate of (x+2). Each piece of the rectangle is a different color so that you can focus on its area.

5. What is the area of each small rectangle?

6. What is the total area of the rectangle?

Problem 3 - FOIL Method

Run the AREA program and select the option for Problem 3.

Enter (x+7)(x+2) for (AX+B)(CX+D). (A=1,B=7,C=1,D=2)

7. How do the areas of the small rectangles in Problem 2 relate to the expression shown on the bottom of the screen?

Practice finding the area of a rectangle and then check your answers with the program.

8. What is the expression of the area of a rectangle with dimensions (3x+5) and (6x+2)?

9. a. (4x+1)(3x+9)

b. (x+8)(7x+3)

c. (2x+(3))(5x+8)


Practice finding the area. Record your answers here. Show each step of your work. Use the program to check your answer.

1. a. (4x+2)(x+7)=

b. (3x7)(2x+4)=

c. (2x+5)(6x+1)=

d. (5x+3)(9x2)=

Next, you will be multiplying a trinomial (3 terms) times a binomial (2 terms) to find the area of a rectangle.

2. What method can you use to find the simplified expression for the area?

3. Use the letters a,b,c,d, and e to determine the formula used to find the 6 terms of area shown at the right.

4. What is the area of the rectangle with dimensions (1x2+3x+4) and (5x+6)?

5. a. (2x2+1x+7)(3x+(6))=

b. (4x2+3x+8)(x+3)=

c. (2x2+6x+4)(3x+9)=

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Date Created:

Feb 22, 2012

Last Modified:

Oct 31, 2014
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