Find the Area of each Rectangle

1
Find the Area of each Rectangle
Area length width

• Then find the total area

10
10
Now Consider (10 10)(10 5) (20)(15) 300
100
100
10
5
50
50
Total 300
2

• (10 10)(10 5)

10
10
F
O
I
L
100
100
10
5
50
50
1010 105 1010105
100 50 100 50 300
3
Find the Area of each Rectangle

• Area length width

3
x
(x 3)(x 2) x2 2x 3x 6 x2 5x 6
x2
3x
x
2
2x
6
FOILFirst,Outside,Inside,Last
4
Write an area model to show
Your Turn

• (x 4)(x 5)

5
x
(x 4)(x 5) x2 5x 4x 20 x2 9x 20
x2
5x
x
4
4x
20
FOILFirst,Outside,Inside,Last
5
Foil First, Outside, Inside, Last

• Expand (2x 3)(y 5)
• First 2x y
• Outside 2x 5
• Inside 3 y
• Last 3 5
• 2xy 10x 3y 15

6
Foil First, Outside, Inside, Last

• Expand (x 3)(x - 5)
• x2 -5x 3x - 15

L
O
I
F

• x2 -2x - 15

7
Foil First, Outside, Inside, Last

• Expand (x 3)2
• (x 3)(x 3)
• x2 3x 3x 9
• x2 6x 9

8
Foil First, Outside, Inside, Last

• Expand (x 4)(x - 3)
• First x2
• Outside -3x
• Inside 4x
• Last -12
• x2 - 3x 4x - 12 x2 x -12

Your Turn
9
Foil First, Outside, Inside, Last

• Expand (x - 2)(x - 3)
• First x2
• Outside -3x
• Inside -2x
• Last 6
• x2 - 3x - 2x 6 x2 - 5x 6

Your Turn
10
Distributive Porperty

• Expand (x - 2)(x2 3x 5)
• x3 3x2 5x -2x2 - 6x - 10

11
Distributive Porperty

• Expand (x - 2)(x2 3x 5)
• x3 3x2 5x -2x2 - 6x - 10

12
Distributive Porperty

• Expand (x - 2)(x2 3x 5)
• x3 3x2 5x -2x2 - 6x - 10

• x3 x2 5x - 6x - 10

x3 x2 - x - 10