Plot the points, draw the polygon, and calculate its area using the Shoelace Theorem. (a) (1, 3), (2, 1), (5, 0), (6,4), (4, 2) (b) (0, 0), (4, -1), (7, 2), (6,5), (3, 7), (1,4)
Plot the points, draw the polygon, and calculate its area using the Shoelace Theorem. (a) (1, 3), (2, 1), (5, 0), (6,4), (4, 2) (b) (0, 0), (4, -1), (7, 2), (6,5), (3, 7), (1,4)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise set 2 part a and b please!
![Shoelace Theorem:
Suppose the polygon P has vertices (a₁, b₁), (a₂, b₂),... (an, bn) listed in clockwise order.
Define an+1 = a₁, bn+1 = b₁. Then, the area of P can be calculated using the formula:
area of P =
NII
n
k=1
det [1
[ακ
ak+1]
bk+1]
Note that this is the absolute value of the sum of determinants.
Exercise Set 2:
Plot the points, draw the polygon, and calculate its area using the Shoelace Theorem.
(a) (1, 3), (2, 1), (5, 0), (6, 4), (4, 2)
(b) (0, 0), (4, -1), (7,2), (6,5), (3, 7), (1, 4)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8eeaacd3-f9c7-4223-a8e6-a717e551a98a%2F4e1a7a09-0f59-4b1c-ad01-cff8443fbb2b%2Fpa7bla_processed.png&w=3840&q=75)
Transcribed Image Text:Shoelace Theorem:
Suppose the polygon P has vertices (a₁, b₁), (a₂, b₂),... (an, bn) listed in clockwise order.
Define an+1 = a₁, bn+1 = b₁. Then, the area of P can be calculated using the formula:
area of P =
NII
n
k=1
det [1
[ακ
ak+1]
bk+1]
Note that this is the absolute value of the sum of determinants.
Exercise Set 2:
Plot the points, draw the polygon, and calculate its area using the Shoelace Theorem.
(a) (1, 3), (2, 1), (5, 0), (6, 4), (4, 2)
(b) (0, 0), (4, -1), (7,2), (6,5), (3, 7), (1, 4)
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