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Perimeter & Area of Rectangles, Squares and Parallelograms. Learning Targets. LT #8: I can find perimeter and area of rectangles and squares. LT #9: I can use the correct units when calculating perimeter, area and volume of figures. LT #10: I can find the area of a parallelogram. Perimeter. - PowerPoint PPT Presentation
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Perimeter & Area of
Rectangles, Squaresand
Parallelograms
Learning Targets
• LT #8: I can find perimeter and area of rectangles and squares.
• LT #9: I can use the correct units when calculating perimeter, area and volume of figures.
• LT #10: I can find the area of a parallelogram.
Perimeter Perimeter – (P) The distance
around a figure.
5 in. 5 in.
9 in.
9 in.
5959+
28 in.
PerimeterPERIMETER: Is the distance around a
figure. When you add the sides, you are also adding the units. When you add the units, your units DO NOT CHANGE!
If this rectangle has units in inches, then you are adding in + in + in + in = in
You must include units in every answer!
Perimeter Find the perimeter
9 cm. 9 cm.
9 cm.
9 cm.
9999+
36 cm.
A shortcut for area of a square is 4 x side
Perimeter Find the perimeter
9 cm. 9 cm.
7 cm.
7 cm.
9797+
32 cm.
Perimeter Find the perimeter
Thumbs up when you know the answer.
3 in.
6 in.
3 in.
6 in.
3in+6in+3in+6in = 18in
Area of a Rectangle
How many squares cover this rectangle?
height
base(h)
(b)
Area is the number of square units that are needed to cover the surface of a figure.
The area of this rectangle is 12 squares or 12 units squared.
Area of a Rectangle
2 units x 6 units = 12 units2.
2 units
6 units
Label the dimensions of this rectangle.
Area is in units2 because you are
multiplying units.
Area of a Rectangle
2 units
6 units
We found the area of the rectangle by multiplying the base times the height.
A = bh
The area of a rectangle is also known as the length time the width.
A = bh is the same as A = lw
Area of a RectangleWhat is the area of the rectangle?
5 ft.
6 ft.
56x
30 ft.2
30 ft2 or square feet
Using The Correct UnitsPERIMETER: Is the distance around
a figure. in + in + in + in = in
AREA: Is the square units that cover a figure.
length width = in in = in2
VOLUME: The number of cubic units inside a figure.
length width height in in in = in3
length
width
length width
height
squared
cubed
A square is a special rectangle.Since the base and the height are the same size, we call them sides (s) instead of base and height.
sheight = s
s
base = s
Area of a Square
A= s2
Area of a Square What is the area of the square?
4 m.
4 m.
44x
16 m.2
16 m2 or square meters
Take Out Your Learning Targets
LT #8 Perimeter of a Rectangle & Square
The Perimeter of a figure is the distance around a figure.
2 in. 2 in.
5 in.
5 in.
2525+
14 in.
Rectangle
45
2 2P l w
2(5) 2(4)P
18 units
4P s8 ft
8 ft
4(8)P 32 ft
Square
10 8
The Area of a figure is the number of square units needed to cover it.
A = 2 3 6 square units
6 units2
2
3
Rectangle
45
A l w A 5 4
220 un
2A = s
8m 8m
A 8 8 264 m
Square
# 8
Using The Correct UnitsPERIMETER: Is the distance around
a figure. in + in + in + in = in
AREA: Is the square units that cover a figure.
length width = in in = in2
VOLUME: The number of cubic units inside a figure.
V = length width height in in in = in3
length
width
length width
height
squared
cubed
LT #9
Area of a ParallelogramGiven the formula for area of a rectangle, we are
going to use that information to derive the formula for the area of a parallelogramWatch carefully not to
miss it!
Draw a straight line from the top corner perpendicular to the base
Cut that triangle and move it to the other sideWhat
shape does it make?
Rectangle
Area of a Parallelogram
What is the formula for area of a parallelogram?
Use this information to find the area of a parallelogram
A parallelogram has the same area as a rectangle!
h
base = b
height = h h
b
Area of a Parallelogram
hbA
What is the area of this parallelogram?
7 cm.
5 cm. 57x
35 cm.2
35 square centimeters or 35 cm.2
Area of a Parallelogram
What is the area of this parallelogram?
6 ft.
5 ft.56x
30 ft.2
30 square feet or 30 ft.2
Area of a Parallelogram
Take Out Your Learning Targets
Area of a Parallelogram
LT #10
5 in
3 inA = b • h
A = 5 • 3 = 15 in2
To find the area for a parallelogram use what you know about area of a rectangle.
A = base • height
