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![Page 1: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/1.jpg)
Perimeter and Area
Please view this tutorial and answer the follow-up questions on loose leaf to
turn in to your teacher.
![Page 2: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/2.jpg)
Definitions
• Perimeter: The distance around the outside of a plane shape
• Circumference: The distance around the outside of a circle
• Area: The amount of space taken up by a plane shape
![Page 3: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/3.jpg)
Perimeter
When you are finding the perimeter of a plane
shape, you must add up the lengths of each side
of the shape.
12 ft
16 ft
12 ft
16 ft
Pick a starting point and then continue to work your way around the shape until all sides have
been accounted for.
![Page 4: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/4.jpg)
Perimeter
I’ll choose the top left corner as my starting
point.
12 ft
16 ft
12 ft
16 ft
1212 +1612 +16 +1212 +16 +12 +1612 +16 +12 +16 =56
![Page 5: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/5.jpg)
Perimeter
So the perimeter of this rectangle is 56 ft.
12 ft
16 ft
12 ft
16 ft
1212 +1612 +16 +1212 +16 +12 +1612 +16 +12 +16 =56
![Page 6: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/6.jpg)
PerimeterThe perimeter of a circle is called the
circumference.
To find the circumference of a circle, you can use the following formulas:
C =2πr C =πdor
Let’s take a look at an example.
![Page 7: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/7.jpg)
Perimeter
5 ft
C =2πr C =πdor
5 is the radius so we can use the first formula.
Do we have the radius or the diameter?
![Page 8: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/8.jpg)
Perimeter
5 ft
C =2πr C =πdor
Let’s use 3.14 for pi and 5 for the radius.
C =2(3.14)(5)C =31.4 ft
![Page 9: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/9.jpg)
Triangle: Circle:
Rectangle: Square:
Parallelogram:
Trapezoid:
AreaThe following is a list of formulas for basic plane
shapes:
A =lw
A =bh
A =s2
A =πr2A =
12bh
A =12(b1 +b2 )h
![Page 10: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/10.jpg)
Area
5 ft
First, let’s try to find the area of a triangle.
6 ft
4 ft
A =12bh
We can always tell which values are the
base and height because they will
always meet at a right angle.
![Page 11: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/11.jpg)
Area
5 ft
First, let’s try to find the area of a triangle.
6 ft
4 ft
A =12bh
In this case, 6 ft is the base of the triangle and
4 ft is the height.
A =12(6)(4)
A =12 ft2
![Page 12: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/12.jpg)
Area
8 ft
Next up…a rectangle!
10 ft
10 is the length and 8 is the width. Plug
these values into the formula to find the
area.
A=80 ft2
A =lwA =(10)(8)
![Page 13: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/13.jpg)
Area
4 ft
You can use the same formula to find the area of a square.
4 ft A=16 ft2
A =lwA =(4)(4)
![Page 14: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/14.jpg)
Area
4 ft
Or you can use the formula for a square.
4 ft A =16 ft2
A =lwA =(4)(4)
A =s2
A =42
A=16 ft2You’ll get the same
answer for both.
![Page 15: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/15.jpg)
Area
11 m
Parallelograms are similar to rectangles, but you have to be careful to choose the correct values from the figure. You’ll need to find a base and
height.
7 m
Which values would you choose for the base and height?
5 m
![Page 16: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/16.jpg)
Area
11 m
Since we know that base and height always meet at a right angle, we should choose 11 for
our base and 5 for our height.
7 m5 m
A =bh
A =(11)(5)
A =55m2
![Page 17: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/17.jpg)
Area
21 in
For a trapezoid, you’ll need to find two bases and a height. Look for two sides that are parallel
and the length that connects them.
14 in
9 inWhich two sides are
parallel?
![Page 18: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/18.jpg)
Area
21 in
The sides with lengths of 14 in. and 21 in. are parallel. They are connected by a height of 9 in.
14 in
9 in Plug these values into the formula to find the area of this
trapezoid.
A =12(b1 +b2 )h
![Page 19: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/19.jpg)
Area
21 in
The sides with lengths of 14 in and 21 in are parallel to each other. They are connected by a
height of 9 in.
14 in
9 in
A =12(b1 +b2 )h
A =12(21+14)(9)
A =157.5in2
![Page 20: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/20.jpg)
AreaTo find the area of a circle, you’ll need to find
the radius of that circle.
6 cm
What is the value of the radius in this
circle?
Since 6 is the diameter, we need to divide it by 2
to find the radius.
![Page 21: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/21.jpg)
AreaTo find the area of a circle, you’ll need to find
the radius of that circle.
6 cm
So, the radius is 3.
Plug this value into the formula to find the area
for this circle.
![Page 22: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/22.jpg)
AreaTo find the area of a circle, you’ll need to find
the radius of that circle.
6 cm
HINT: Use 3.14 for π.
A=πr2
A =3.14(32 )
A =28.26cm2
![Page 23: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/23.jpg)
Follow-Up Questions
Answer the following questions on loose leafand hand them in to your teacher.
![Page 24: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/24.jpg)
Follow-Up Questions
17 m
23 m
1) Find the perimeter of each figure.
a)
b)
8 in
c)
5 cm
12 cm
13 cm
d) 9 ft
15 ft
6 ft4 ft 4 ft
![Page 25: Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032705/56649d845503460f94a6b350/html5/thumbnails/25.jpg)
Follow-Up Questions
14 m
14 m
2) Find the area of each figure.
a)
b)11 in
c)
18 cm
12 cm15 cm
d) 9 ft
15 ft
6 ft4 ft 4 ft