How much fencing do we need for our pasture?
-
Upload
clayton-browning -
Category
Documents
-
view
27 -
download
1
description
Transcript of How much fencing do we need for our pasture?
![Page 1: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/1.jpg)
How much fencing do we need for our pasture?
How much border do we need for our nursery?
Bessie got away
again!
![Page 2: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/2.jpg)
Some shapes have specific formulas, but to find perimeter, just
add up all the sides!
Square Perimeter = 4s (s = side length)
Rectangle Perimeter = 2l + 2w (l = length and w = width)
Triangle Perimeter = s1 + s2 + s3 (the sides)
![Page 3: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/3.jpg)
Ex 1: Find the perimeter of..
a. A square whose sides have length 8 cm.
8 cm
8 cm
8 cm8 cmP = 4sP = 4(8)P = 32 cm
![Page 4: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/4.jpg)
b. A rectangle whose length is 5 m and width is 11 m.
5 m
11 m
P = 2l + 2wP = 2(5) + 2(11)P = 10 + 22P = 32 m
11 m
5 m
![Page 5: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/5.jpg)
c. A triangle whose side lengths are 3 in, 4 in, and 5 in.
P = s1 + s2 + s3P = 3 + 4 + 5P = 12 in
3 in
4 in5 in
![Page 6: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/6.jpg)
Ex 2: Find the indicated side length.
a. A square with perimeter 20 in.
5 in
5 in
5 in5 inP = 4s20 = 4s5 in = s
![Page 7: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/7.jpg)
b. A rectangle with perimeter 30 ft and length 4 ft.
4 ft
11 ft
P = 2l + 2w30 = 2(4) + 2w30 = 8 + 2w22 = 2w11 = w
11 ft
4 ft
![Page 8: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/8.jpg)
c. A triangle with perimeter 23 mm and remaining side lengths 8 mm and 9 mm.
P = s1 + s2 + s323 = 8 + 9 + s323 = 17 + s36 mm = s3
6 mm
9 mm
8 mm
![Page 9: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/9.jpg)
Ex 3: Find the perimeter.8
64
5
2
Fill in the other lengths..
5 + 2 = 7
8 + 4 = 12
4
4
6
Perimeter = 8 + 6 + 4 + 7 + 12 + 2 + 4 + 5 + 4 + 6Perimeter = 58 units
![Page 10: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/10.jpg)
How would you add up all the sides of a circle? A circle has no sides.
Circumference, C, is similar to Perimeter but is used with circles and
is defined differently.
![Page 11: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/11.jpg)
A diameter is equivalent to 2 radii. Depending upon which piece is given,
use one of the following.
diameter
dC
or
rC
2
![Page 12: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/12.jpg)
Ex 4: Find the circumference of a circle with radius .
38
38
316
)38(2
2
C
C
rC
Unless you are told to use 3.14, leave your answer in terms of pi.
![Page 13: How much fencing do we need for our pasture?](https://reader036.fdocuments.us/reader036/viewer/2022062309/56813643550346895d9dbd56/html5/thumbnails/13.jpg)
Ex 5: A bicycle wheel has a diameter of 60 cm. How far will it travel if it makes 50 revolutions? Use π = 3.14.
●
The wheel spins…
● ● ●
50 times
Find circumference to determine how far the wheel moves with each spin. Multiply by 50 since it spins
50 times. C = πd = (3.14)(60) = 188.4Distance = 188.4 (50) = 9420 cm