Survey Plot. Find the exact area of the polygon. Area = sq. units L.
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Transcript of Survey Plot. Find the exact area of the polygon. Area = sq. units L.
![Page 1: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/1.jpg)
Survey Plot
![Page 2: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/2.jpg)
Find the exact area of the polygon.
Area = sq. unitsL
![Page 3: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/3.jpg)
(𝑥1 , 𝑦 1 )
(𝑥2 , 𝑦2 )
(𝑥3 , 𝑦3 )
𝒙
𝒚
What’s the area of this triangle?
![Page 4: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/4.jpg)
(𝑥1 , 𝑦 1 )
(𝑥2 , 𝑦2 )
(𝑥3 , 𝑦3 )
𝒙
𝒚
What’s the area of this triangle?
![Page 5: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/5.jpg)
(𝑥1 , 𝑦 1 )
(𝑥2 , 𝑦2 )
(𝑥3 , 𝑦3 )
(𝑥1 ,0 ) (𝑥2 ,0 ) (𝑥3 ,0 )𝒙
𝒚
What’s the area of this triangle?
![Page 6: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/6.jpg)
(𝑥1 , 𝑦 1 )𝟏𝟐 (𝒚𝟐+𝒚𝟏 ) ( 𝒙𝟐− 𝒙𝟏 )
𝟏𝟐 (𝒚𝟑+𝒚𝟐 ) ( 𝒙𝟑− 𝒙𝟐 ) 𝟏
𝟐 (𝒚𝟑+𝒚𝟏 ) ( 𝒙𝟑− 𝒙𝟏 )
![Page 7: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/7.jpg)
(𝑥1 , 𝑦 1 )𝟏𝟐 (𝒚𝟐+𝒚𝟏 ) ( 𝒙𝟐− 𝒙𝟏 )
𝟏𝟐 (𝒚𝟑+𝒚𝟐 ) ( 𝒙𝟑− 𝒙𝟐 ) 𝟏
𝟐 (𝒚𝟏+𝒚𝟑 ) ( 𝒙𝟏− 𝒙𝟑 )
![Page 8: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/8.jpg)
So, list the coordinates in columns in a spreadsheet, repeating the first coordinates at the end.Then enter a formula for the area of the trapezium formed by the first pair of coordinates.Copy down this formula to the last point (point 3).Finally, sum the areas of the trapezium.
Point
Trapezium area
1
2
3
1
Total
![Page 9: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/9.jpg)
So, list the coordinates in columns in a spreadsheet, repeating the first coordinates at the end.Then enter a formula for the area of the trapezium formed by the first pair of coordinates.Copy down this formula to the last point (point 3).Finally, sum the areas of the trapezium.
Point
Trapezium area
1
2
3
1
Total
![Page 10: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/10.jpg)
So, list the coordinates in columns in a spreadsheet, repeating the first coordinates at the end.Then enter a formula for the area of the trapezium formed by the first pair of coordinates.Copy down this formula to the last point (point 3).Finally, sum the areas of the trapezium.
Point
Trapezium area
1
2
3
1
Total
![Page 11: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/11.jpg)
So, list the coordinates in columns in a spreadsheet, repeating the first coordinates at the end.Then enter a formula for the area of the trapezium formed by the first pair of coordinates.Copy down this formula to the last point (point 3).Finally, sum the areas of the trapezium.
Point
Trapezium area
1
2
3
1
Total
What if the polygon had a hole in it?
Think of this point as point 4 in the list.
![Page 12: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/12.jpg)
hole
A
D
B
C
F
E
H
G
I
JK
L
M
N
O
Q P
R
S
So to include a hole insert its co-ordinates into the existing list taking care to repeat connecting points (i.e. J and K) and avoid crossing over previous lines.
![Page 13: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/13.jpg)
![Page 14: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/14.jpg)
RESOURCES
![Page 15: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/15.jpg)
Find the exact area of the polygon.
Area = sq. unitsA
SIC_28
![Page 16: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/16.jpg)
Find the exact area of the polygon.
Area = sq. unitsB
SIC_28
![Page 17: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/17.jpg)
Find the exact area of the polygon.
Area = sq. unitsC
SIC_28
![Page 18: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/18.jpg)
Find the exact area of the polygon.
Area = sq. unitsD
SIC_28
![Page 19: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/19.jpg)
Find the exact area of the polygon.
Area = sq. unitsE
SIC_28
![Page 20: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/20.jpg)
Find the exact area of the polygon.
Area = sq. unitsF
SIC_28
![Page 21: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/21.jpg)
Find the exact area of the polygon.
Area = sq. unitsG
SIC_28
![Page 22: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/22.jpg)
Find the exact area of the polygon.
Area = sq. unitsH
SIC_28
![Page 23: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/23.jpg)
Find the exact area of the polygon.
Area = sq. unitsI
SIC_28
![Page 24: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/24.jpg)
Find the exact area of the polygon.
Area = sq. unitsJ
SIC_28
![Page 25: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/25.jpg)
Find the exact area of the polygon.
Area = sq. unitsK
SIC_28
![Page 26: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/26.jpg)
Find the exact area of the polygon.
Area = sq. unitsL
SIC_28
![Page 27: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/27.jpg)
Find the exact area of the polygon.
Area = sq. unitsM
SIC_28
![Page 28: Survey Plot. Find the exact area of the polygon. Area = sq. units L.](https://reader037.fdocuments.us/reader037/viewer/2022110208/56649daa5503460f94a9785a/html5/thumbnails/28.jpg)
Find the exact area of the polygon.
Area = sq. unitsN
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