http:// the area of a figure is the number of square units needed to cover it. a = 2 3 6 square...
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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
#1
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#2
PERIMETER: 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
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Area of a Parallelogram
# 3
5 in
3 inA = b x h
A = 5 x 3 = 15 in2
To find the area for a parallelogram use what you know about area of a rectangle.
A = base x height
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# 4 Area of a Triangle
8 m
6 m
A = 8 x 62
= 24 m2
A = base x height 2
A triangle is half the area of a rectangle. To find the area of a triangle you use the rectangle formula and divide it in half.
1A= bh
2
bhA=
2
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# 5 Area of a Trapezoid
5 ft
4 ft
A = (b1 + b2) x h2
3 ft
A = (4 + 5) x 32
A = (9) x 3 2
272 = 13.5 ft2
A = (base1 + base2) x height 2
=
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Area of Polygons#6
The Area of a figure is the number of square units needed to cover it.
Rectangle
45
A l w
A 5 4
A un20 2
A b h
1078
A 10 7
A un70 2
Parallelogram Triangle
58
8 5A
2
A un20 2
7 b•hA=
2
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6 in
= 3.14 or 22 7
#7
A = π radius squared2A = πr
2A = (3.14)6
A = (3.14) 36
2A = 113.04 in
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#8
Find the Circumference
5 ft
Find the AreaC = 2 rC = 2 5
C = 31.42 ft
Round to the nearest hundredths place and include units!
2A = r2A = 5
A = 252A = 78.54 ft
C = 10
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Parallelogram
Trapezoid
Triangle
Rectangle
A= Base x Height
A= (Base1 + Base2) x
Height
A= (Base x Height) h
b
A= Base x Height
h
b
2
2
Square A= Side x Sides
s
# 9
b1
b2
b
h
h
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#10
20 m
12 m 13 m
Perimeter
Area1Area
P = 12 + 20 + 13 + 25
P = 70 m
5 m25m
2Area
Total Area
l w
b h2
20 12 2240 m
5 122 230 m
2270 mANOTHER WAY: Area of a Trapezoid
12(25 20)2 2270mA = (b1 + b2) x h
2
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Perimeter & Area Review
# 11
The Area (A) of a figure is the number of square units needed to cover it.
The Perimeter (P) is the distance around a figure.
a
b
c P= a+b+c units
height
base
(h)(b)
A = 2 • 6
12 square units
12 units2
9 cm
5 cm 6 cm3 cm
Area & Perimeter of a Triangle
# 12
PerimeterP = a + b + c
P = 5 + 6 + 9
P = 20 cm
Area1A b h2
1A 9 32
1A 272
2A 13.5 cm
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#13 Perimeter & Area of a Rectangle The Perimeter of a figure is the distance around a figure.
2 in. 2 in.
5 in.
5 in.
2525+
14 in.
2 2P l w
The Area of a figure is the number of square units needed to cover it.
A = 3 • 2
6 square units
6 units2
A b h 3
2
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Teacher Note: The following study guide slides were taken from the lesson on Perimeter and Area review under the PERIMETER FOLDER
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a
b
c
de
f
g
h P=a+b+c+d+e+f+g+h
a
b
cP= a+b+c
P=4ss
s
s
s
l
l
w w
P=2l+2w
#9
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#10 Perimeter of a TrianglePerimeter: Distance around a geometric figure.
a 3 cm
c 7 cm
b 5 cm
P a b c
P 15 cmP 3 5 7
When you add thesides, you are alsoadding the units.
When you add units,your UNITS DO
NOTCHANGE!You must include units in every answer!
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#11 Perimeter of a Rectangle & SquareThe 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
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