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Perimeter

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Perimeter & Area of Rectangles & Parallelograms 6-1 Warm Up Problem of the Day Lesson Presentation Pre-Algebra Warm Up Graph the line segment for each set of ... – PowerPoint PPT presentation

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Title: Perimeter


1
Perimeter Area of Rectangles
Parallelograms
6-1
Warm Up
Problem of the Day
Lesson Presentation
Pre-Algebra
2
  • Warm Up
  • Graph the line segment for each set of ordered
    pairs. Then find the length of the line segment.
  • 1. (7, 0), (0, 0)
  • 2. (0, 3), (0, 6)
  • 3. (4, 2), (1, 2)
  • 4. (5, 4), (5, 2)

7 units
3 units
5 units
6 units
3
Problem of the Day Six pennies are placed around
a seventh so that there are no gaps. What figure
is formed by connecting the centers of the six
outer pennies?
regular hexagon
4
Learn to find the perimeter and area of
rectangles and parallelograms.
5
Vocabulary
perimeter area
6
Any side of a rectangle or parallelogram can be
chosen as the base. The height is measured along
a line perpendicular to the base.
Parallelogram
Rectangle
Height
Height
Side
Base
Base
Perimeter is the distance around the outside of a
figure. To find the perimeter of a figure, add
the lengths of all its sides.
7
Additional Example 1A Finding the Perimeter of
Rectangles and Parallelograms
A. Find the perimeter of the figure.
Add all side lengths.
P 14 14 5 5
38 units
Perimeter of rectangle.
or P 2b 2h
Substitute 14 for b and 5 for h.
2(14) 2(5)
28 10 38 units
8
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9
Additional Example 1B Finding the Perimeter of
Rectangles and Parallelograms
B. Find the perimeter of the figure.
P 16 16 20 20
72 units
10
Try This Example 1A
A. Find the perimeter of the figure.
6
11
Add all side lengths.
P 11 11 6 6
34 units
Perimeter of rectangle.
or P 2b 2h
Substitute 11 for b and 6 for h.
2(11) 2(6)
22 12 34 units
11
Try This Example 1B
B. Find the perimeter of the figure.
5
13
P 5 5 13 13
Add all side lengths.
36 units
12
Area is the number of square units in a figure. A
parallelogram can be cut and the cut piece
shifted to form a rectangle with the same base
length and height as the original parallelogram.
So a parallelogram has the same area as a
rectangle with the same base length and height.
13
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14
Additional Example 2A Using a Graph to Find Area
Graph the figure with the given vertices. Then
find the area of the figure.
A. (1, 2), (2, 2), (2, 3), (1, 3)
Area of a rectangle.
A bh
Substitute 3 for b and 5 for h.
A 3 5
A 15 units2
15
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16
Additional Example 2B Using a Graph to Find Area
Graph the figure with the given vertices. Then
find the area of the figure.
B. (0, 0), (5, 0), (6, 4), (1, 4)
Area of a parallelogram.
A bh
Substitute 5 for b and 4 for h.
A 5 4
A 20 units2
17
Try This Example 2A
Graph the figure with the given vertices. Then
find the area of the figure.
A. (3, 2), (1, 2), (1, 3), (3, 3)
Area of a rectangle.
A bh
Substitute 4 for b and 5 for h.
A 4 5
A 20 units2
18
Try This Example 2B
Graph the figure with the given vertices. Then
find the area of the figure.
B. (1, 1), (3, 1), (5, 3), (1, 3)
Area of a parallelogram.
A bh
Substitute 4 for b and 4 for h.
A 4 4
A 16 units2
19
Additional Example 3 Finding Area and Perimeter
of a Composite Figure
Find the perimeter and area of the figure.
6
6
3
3
6
5
5
The length of the side that is not labeled is the
same as the sum of the lengths of the sides
opposite, 18 units.
P 5 6 3 6 3 6 5 18
52 units
20
Additional Example 3 Continued
6
6
3
3
6
5
5
A 6 5 6 2 6 5
Add the areas together.
30 12 30
72 units2
21
Try This Example 3
Find the perimeter of the figure.
The length of the side that is not labeled is 2.
2
4
6
7
7
6
2
2
P 6 2 4 7 6 4 2 2 2 7
?
42 units
4
22
Try This Example 3 Continued
2
Find the area of the figure.
4
6
7
Add the areas together.
A 2 6 7 2 2 2 4 2
7
6
2
2
12 14 4 8
2
2
38 units2
4



23
Lesson Quiz Part 1
1. Find the perimeter of the figure.
12 ft
5 ft
4 ft
5 ft
5 ft
5 ft
44 ft
12 ft
24
Lesson Quiz Part 2
2. Find the area of the figure.
12 ft
5 ft
4 ft
5 ft
5 ft
5 ft
108 ft2
12 ft
25
Lesson Quiz Part 3
Graph the figure with the given vertices and find
its area.
3. (4, 2), (6, 2), (6, 3), (4, 3)
50 units2
26
Lesson Quiz Part 4
Graph the figure with the given vertices and find
its area.
4. (4, 2), (2, 2), (3, 5), (3, 5)
42 units2
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